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Finding the Third Proportional to 74,787.75 and 157,417.88

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Solution

The third proportional to 74,787.75 and 157,417.88 is: 331,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,787.75 : 157,417.88 = 157,417.88 : x
  2. Step 2: Convert to fraction form
    74,787.75/157,417.88 = 157,417.88/x
  3. Step 3: Cross multiply
    74,787.75x = 157,417.88 × 157,417.88
  4. Step 4: Simplify right side
    74,787.75x = 24,780,387,369.52
  5. Step 5: Solve for x
    x = 24,780,387,369.52/74,787.75
  6. Step 6: Final answer
    x = 331,342.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.