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Finding the Third Proportional to 135,738 and 207,117

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Solution

The third proportional to 135,738 and 207,117 is: 316,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,738 : 207,117 = 207,117 : x
  2. Step 2: Convert to fraction form
    135,738/207,117 = 207,117/x
  3. Step 3: Cross multiply
    135,738x = 207,117 × 207,117
  4. Step 4: Simplify right side
    135,738x = 42,897,451,689
  5. Step 5: Solve for x
    x = 42,897,451,689/135,738
  6. Step 6: Final answer
    x = 316,031.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.