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Finding the Third Proportional to 269,208,016,050 and 581,399,369,742

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Solution

The third proportional to 269,208,016,050 and 581,399,369,742 is: 1,255,628,387,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,208,016,050 : 581,399,369,742 = 581,399,369,742 : x
  2. Step 2: Convert to fraction form
    269,208,016,050/581,399,369,742 = 581,399,369,742/x
  3. Step 3: Cross multiply
    269,208,016,050x = 581,399,369,742 × 581,399,369,742
  4. Step 4: Simplify right side
    269,208,016,050x = 338,025,227,136,394,806,165,504
  5. Step 5: Solve for x
    x = 338,025,227,136,394,806,165,504/269,208,016,050
  6. Step 6: Final answer
    x = 1,255,628,387,654.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.