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Finding the Third Proportional to 62,548 and 133,025

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Solution

The third proportional to 62,548 and 133,025 is: 282,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,548 : 133,025 = 133,025 : x
  2. Step 2: Convert to fraction form
    62,548/133,025 = 133,025/x
  3. Step 3: Cross multiply
    62,548x = 133,025 × 133,025
  4. Step 4: Simplify right side
    62,548x = 17,695,650,625
  5. Step 5: Solve for x
    x = 17,695,650,625/62,548
  6. Step 6: Final answer
    x = 282,913.13

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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.