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Finding the Third Proportional to 137,218 and 215,535

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Solution

The third proportional to 137,218 and 215,535 is: 338,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,218 : 215,535 = 215,535 : x
  2. Step 2: Convert to fraction form
    137,218/215,535 = 215,535/x
  3. Step 3: Cross multiply
    137,218x = 215,535 × 215,535
  4. Step 4: Simplify right side
    137,218x = 46,455,336,225
  5. Step 5: Solve for x
    x = 46,455,336,225/137,218
  6. Step 6: Final answer
    x = 338,551.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.