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Finding the Third Proportional to 492,748 and 686,522

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Solution

The third proportional to 492,748 and 686,522 is: 956,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,748 : 686,522 = 686,522 : x
  2. Step 2: Convert to fraction form
    492,748/686,522 = 686,522/x
  3. Step 3: Cross multiply
    492,748x = 686,522 × 686,522
  4. Step 4: Simplify right side
    492,748x = 471,312,456,484
  5. Step 5: Solve for x
    x = 471,312,456,484/492,748
  6. Step 6: Final answer
    x = 956,497.96

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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.