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Finding the Third Proportional to 417,869 and 636,598

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Solution

The third proportional to 417,869 and 636,598 is: 969,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,869 : 636,598 = 636,598 : x
  2. Step 2: Convert to fraction form
    417,869/636,598 = 636,598/x
  3. Step 3: Cross multiply
    417,869x = 636,598 × 636,598
  4. Step 4: Simplify right side
    417,869x = 405,257,013,604
  5. Step 5: Solve for x
    x = 405,257,013,604/417,869
  6. Step 6: Final answer
    x = 969,818.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.