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Finding the Third Proportional to 72,407 and 115,217

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Solution

The third proportional to 72,407 and 115,217 is: 183,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,407 : 115,217 = 115,217 : x
  2. Step 2: Convert to fraction form
    72,407/115,217 = 115,217/x
  3. Step 3: Cross multiply
    72,407x = 115,217 × 115,217
  4. Step 4: Simplify right side
    72,407x = 13,274,957,089
  5. Step 5: Solve for x
    x = 13,274,957,089/72,407
  6. Step 6: Final answer
    x = 183,338.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.