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Finding the Third Proportional to 417,830 and 636,537

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Solution

The third proportional to 417,830 and 636,537 is: 969,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,830 : 636,537 = 636,537 : x
  2. Step 2: Convert to fraction form
    417,830/636,537 = 636,537/x
  3. Step 3: Cross multiply
    417,830x = 636,537 × 636,537
  4. Step 4: Simplify right side
    417,830x = 405,179,352,369
  5. Step 5: Solve for x
    x = 405,179,352,369/417,830
  6. Step 6: Final answer
    x = 969,722.98

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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.