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Finding the Third Proportional to 423,079 and 905,209

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Solution

The third proportional to 423,079 and 905,209 is: 1,936,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,079 : 905,209 = 905,209 : x
  2. Step 2: Convert to fraction form
    423,079/905,209 = 905,209/x
  3. Step 3: Cross multiply
    423,079x = 905,209 × 905,209
  4. Step 4: Simplify right side
    423,079x = 819,403,333,681
  5. Step 5: Solve for x
    x = 819,403,333,681/423,079
  6. Step 6: Final answer
    x = 1,936,762.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.