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Finding the Third Proportional to 104,538 and 157,780

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Solution

The third proportional to 104,538 and 157,780 is: 238,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,538 : 157,780 = 157,780 : x
  2. Step 2: Convert to fraction form
    104,538/157,780 = 157,780/x
  3. Step 3: Cross multiply
    104,538x = 157,780 × 157,780
  4. Step 4: Simplify right side
    104,538x = 24,894,528,400
  5. Step 5: Solve for x
    x = 24,894,528,400/104,538
  6. Step 6: Final answer
    x = 238,138.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.