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Finding the Third Proportional to 421,120,810.13 and 654,646,227.75

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Solution

The third proportional to 421,120,810.13 and 654,646,227.75 is: 1,017,669,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,120,810.13 : 654,646,227.75 = 654,646,227.75 : x
  2. Step 2: Convert to fraction form
    421,120,810.13/654,646,227.75 = 654,646,227.75/x
  3. Step 3: Cross multiply
    421,120,810.13x = 654,646,227.75 × 654,646,227.75
  4. Step 4: Simplify right side
    421,120,810.13x = 428,561,683,507,304,896
  5. Step 5: Solve for x
    x = 428,561,683,507,304,896/421,120,810.13
  6. Step 6: Final answer
    x = 1,017,669,213.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.