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Finding the Third Proportional to 417,689 and 651,486

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Solution

The third proportional to 417,689 and 651,486 is: 1,016,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,689 : 651,486 = 651,486 : x
  2. Step 2: Convert to fraction form
    417,689/651,486 = 651,486/x
  3. Step 3: Cross multiply
    417,689x = 651,486 × 651,486
  4. Step 4: Simplify right side
    417,689x = 424,434,008,196
  5. Step 5: Solve for x
    x = 424,434,008,196/417,689
  6. Step 6: Final answer
    x = 1,016,148.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.