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Finding the Third Proportional to 472,708 and 636,883

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Solution

The third proportional to 472,708 and 636,883 is: 858,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,708 : 636,883 = 636,883 : x
  2. Step 2: Convert to fraction form
    472,708/636,883 = 636,883/x
  3. Step 3: Cross multiply
    472,708x = 636,883 × 636,883
  4. Step 4: Simplify right side
    472,708x = 405,619,955,689
  5. Step 5: Solve for x
    x = 405,619,955,689/472,708
  6. Step 6: Final answer
    x = 858,077.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.