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Finding the Third Proportional to 472,712 and 636,889

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Solution

The third proportional to 472,712 and 636,889 is: 858,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,712 : 636,889 = 636,889 : x
  2. Step 2: Convert to fraction form
    472,712/636,889 = 636,889/x
  3. Step 3: Cross multiply
    472,712x = 636,889 × 636,889
  4. Step 4: Simplify right side
    472,712x = 405,627,598,321
  5. Step 5: Solve for x
    x = 405,627,598,321/472,712
  6. Step 6: Final answer
    x = 858,086.10

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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.