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Finding the Third Proportional to 135,742 and 207,124

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Solution

The third proportional to 135,742 and 207,124 is: 316,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,742 : 207,124 = 207,124 : x
  2. Step 2: Convert to fraction form
    135,742/207,124 = 207,124/x
  3. Step 3: Cross multiply
    135,742x = 207,124 × 207,124
  4. Step 4: Simplify right side
    135,742x = 42,900,351,376
  5. Step 5: Solve for x
    x = 42,900,351,376/135,742
  6. Step 6: Final answer
    x = 316,043.31

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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.