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Finding the Third Proportional to 135,700.75 and 289,436

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Solution

The third proportional to 135,700.75 and 289,436 is: 617,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,700.75 : 289,436 = 289,436 : x
  2. Step 2: Convert to fraction form
    135,700.75/289,436 = 289,436/x
  3. Step 3: Cross multiply
    135,700.75x = 289,436 × 289,436
  4. Step 4: Simplify right side
    135,700.75x = 83,773,198,096
  5. Step 5: Solve for x
    x = 83,773,198,096/135,700.75
  6. Step 6: Final answer
    x = 617,337.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.