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Finding the Third Proportional to 115,078 and 155,479

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Solution

The third proportional to 115,078 and 155,479 is: 210,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,078 : 155,479 = 155,479 : x
  2. Step 2: Convert to fraction form
    115,078/155,479 = 155,479/x
  3. Step 3: Cross multiply
    115,078x = 155,479 × 155,479
  4. Step 4: Simplify right side
    115,078x = 24,173,719,441
  5. Step 5: Solve for x
    x = 24,173,719,441/115,078
  6. Step 6: Final answer
    x = 210,063.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.