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Finding the Third Proportional to 135,588 and 207,414

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Solution

The third proportional to 135,588 and 207,414 is: 317,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,588 : 207,414 = 207,414 : x
  2. Step 2: Convert to fraction form
    135,588/207,414 = 207,414/x
  3. Step 3: Cross multiply
    135,588x = 207,414 × 207,414
  4. Step 4: Simplify right side
    135,588x = 43,020,567,396
  5. Step 5: Solve for x
    x = 43,020,567,396/135,588
  6. Step 6: Final answer
    x = 317,288.90

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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.