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Finding the Third Proportional to 492,780 and 686,566

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Solution

The third proportional to 492,780 and 686,566 is: 956,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,780 : 686,566 = 686,566 : x
  2. Step 2: Convert to fraction form
    492,780/686,566 = 686,566/x
  3. Step 3: Cross multiply
    492,780x = 686,566 × 686,566
  4. Step 4: Simplify right side
    492,780x = 471,372,872,356
  5. Step 5: Solve for x
    x = 471,372,872,356/492,780
  6. Step 6: Final answer
    x = 956,558.45

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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.