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Finding the Third Proportional to 132,728 and 291,700

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Solution

The third proportional to 132,728 and 291,700 is: 641,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,728 : 291,700 = 291,700 : x
  2. Step 2: Convert to fraction form
    132,728/291,700 = 291,700/x
  3. Step 3: Cross multiply
    132,728x = 291,700 × 291,700
  4. Step 4: Simplify right side
    132,728x = 85,088,890,000
  5. Step 5: Solve for x
    x = 85,088,890,000/132,728
  6. Step 6: Final answer
    x = 641,077.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.