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Finding the Third Proportional to 76,438 and 115,813

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Solution

The third proportional to 76,438 and 115,813 is: 175,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438 : 115,813 = 115,813 : x
  2. Step 2: Convert to fraction form
    76,438/115,813 = 115,813/x
  3. Step 3: Cross multiply
    76,438x = 115,813 × 115,813
  4. Step 4: Simplify right side
    76,438x = 13,412,650,969
  5. Step 5: Solve for x
    x = 13,412,650,969/76,438
  6. Step 6: Final answer
    x = 175,470.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.