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Finding the Third Proportional to 508,490.16 and 690,592.71

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Solution

The third proportional to 508,490.16 and 690,592.71 is: 937,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,490.16 : 690,592.71 = 690,592.71 : x
  2. Step 2: Convert to fraction form
    508,490.16/690,592.71 = 690,592.71/x
  3. Step 3: Cross multiply
    508,490.16x = 690,592.71 × 690,592.71
  4. Step 4: Simplify right side
    508,490.16x = 476,918,292,400.01
  5. Step 5: Solve for x
    x = 476,918,292,400.01/508,490.16
  6. Step 6: Final answer
    x = 937,910.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.