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Finding the Third Proportional to 72,438 and 115,257

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Solution

The third proportional to 72,438 and 115,257 is: 183,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,438 : 115,257 = 115,257 : x
  2. Step 2: Convert to fraction form
    72,438/115,257 = 115,257/x
  3. Step 3: Cross multiply
    72,438x = 115,257 × 115,257
  4. Step 4: Simplify right side
    72,438x = 13,284,176,049
  5. Step 5: Solve for x
    x = 13,284,176,049/72,438
  6. Step 6: Final answer
    x = 183,386.84

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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.