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Finding the Third Proportional to 75,156 and 115,560

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Solution

The third proportional to 75,156 and 115,560 is: 177,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,156 : 115,560 = 115,560 : x
  2. Step 2: Convert to fraction form
    75,156/115,560 = 115,560/x
  3. Step 3: Cross multiply
    75,156x = 115,560 × 115,560
  4. Step 4: Simplify right side
    75,156x = 13,354,113,600
  5. Step 5: Solve for x
    x = 13,354,113,600/75,156
  6. Step 6: Final answer
    x = 177,685.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.