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Finding the Third Proportional to 417,854 and 636,573

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Solution

The third proportional to 417,854 and 636,573 is: 969,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,854 : 636,573 = 636,573 : x
  2. Step 2: Convert to fraction form
    417,854/636,573 = 636,573/x
  3. Step 3: Cross multiply
    417,854x = 636,573 × 636,573
  4. Step 4: Simplify right side
    417,854x = 405,225,184,329
  5. Step 5: Solve for x
    x = 405,225,184,329/417,854
  6. Step 6: Final answer
    x = 969,776.97

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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.