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Finding the Third Proportional to 62,509 and 134,790

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Solution

The third proportional to 62,509 and 134,790 is: 290,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,509 : 134,790 = 134,790 : x
  2. Step 2: Convert to fraction form
    62,509/134,790 = 134,790/x
  3. Step 3: Cross multiply
    62,509x = 134,790 × 134,790
  4. Step 4: Simplify right side
    62,509x = 18,168,344,100
  5. Step 5: Solve for x
    x = 18,168,344,100/62,509
  6. Step 6: Final answer
    x = 290,651.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.