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Finding the Third Proportional to 62,485 and 137,128

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Solution

The third proportional to 62,485 and 137,128 is: 300,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,485 : 137,128 = 137,128 : x
  2. Step 2: Convert to fraction form
    62,485/137,128 = 137,128/x
  3. Step 3: Cross multiply
    62,485x = 137,128 × 137,128
  4. Step 4: Simplify right side
    62,485x = 18,804,088,384
  5. Step 5: Solve for x
    x = 18,804,088,384/62,485
  6. Step 6: Final answer
    x = 300,937.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.