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Finding the Third Proportional to 132,742 and 291,728

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Solution

The third proportional to 132,742 and 291,728 is: 641,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,742 : 291,728 = 291,728 : x
  2. Step 2: Convert to fraction form
    132,742/291,728 = 291,728/x
  3. Step 3: Cross multiply
    132,742x = 291,728 × 291,728
  4. Step 4: Simplify right side
    132,742x = 85,105,225,984
  5. Step 5: Solve for x
    x = 85,105,225,984/132,742
  6. Step 6: Final answer
    x = 641,132.62

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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.