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Finding the Third Proportional to 73,712 and 173,129

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Solution

The third proportional to 73,712 and 173,129 is: 406,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,712 : 173,129 = 173,129 : x
  2. Step 2: Convert to fraction form
    73,712/173,129 = 173,129/x
  3. Step 3: Cross multiply
    73,712x = 173,129 × 173,129
  4. Step 4: Simplify right side
    73,712x = 29,973,650,641
  5. Step 5: Solve for x
    x = 29,973,650,641/73,712
  6. Step 6: Final answer
    x = 406,631.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.