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Finding the Third Proportional to 690,420 and 932,814

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Solution

The third proportional to 690,420 and 932,814 is: 1,260,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,420 : 932,814 = 932,814 : x
  2. Step 2: Convert to fraction form
    690,420/932,814 = 932,814/x
  3. Step 3: Cross multiply
    690,420x = 932,814 × 932,814
  4. Step 4: Simplify right side
    690,420x = 870,141,958,596
  5. Step 5: Solve for x
    x = 870,141,958,596/690,420
  6. Step 6: Final answer
    x = 1,260,308.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.