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Finding the Third Proportional to 643,717.13 and 945,857.25

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Solution

The third proportional to 643,717.13 and 945,857.25 is: 1,389,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,717.13 : 945,857.25 = 945,857.25 : x
  2. Step 2: Convert to fraction form
    643,717.13/945,857.25 = 945,857.25/x
  3. Step 3: Cross multiply
    643,717.13x = 945,857.25 × 945,857.25
  4. Step 4: Simplify right side
    643,717.13x = 894,645,937,377.56
  5. Step 5: Solve for x
    x = 894,645,937,377.56/643,717.13
  6. Step 6: Final answer
    x = 1,389,812.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.