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Finding the Third Proportional to 492,744 and 686,516

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Solution

The third proportional to 492,744 and 686,516 is: 956,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,744 : 686,516 = 686,516 : x
  2. Step 2: Convert to fraction form
    492,744/686,516 = 686,516/x
  3. Step 3: Cross multiply
    492,744x = 686,516 × 686,516
  4. Step 4: Simplify right side
    492,744x = 471,304,218,256
  5. Step 5: Solve for x
    x = 471,304,218,256/492,744
  6. Step 6: Final answer
    x = 956,489.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.