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Finding the Third Proportional to 690,430 and 932,811

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Solution

The third proportional to 690,430 and 932,811 is: 1,260,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,430 : 932,811 = 932,811 : x
  2. Step 2: Convert to fraction form
    690,430/932,811 = 932,811/x
  3. Step 3: Cross multiply
    690,430x = 932,811 × 932,811
  4. Step 4: Simplify right side
    690,430x = 870,136,361,721
  5. Step 5: Solve for x
    x = 870,136,361,721/690,430
  6. Step 6: Final answer
    x = 1,260,281.80

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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.