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Finding the Third Proportional to 157,138.31 and 243,265.78

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Solution

The third proportional to 157,138.31 and 243,265.78 is: 376,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,138.31 : 243,265.78 = 243,265.78 : x
  2. Step 2: Convert to fraction form
    157,138.31/243,265.78 = 243,265.78/x
  3. Step 3: Cross multiply
    157,138.31x = 243,265.78 × 243,265.78
  4. Step 4: Simplify right side
    157,138.31x = 59,178,240,327.17
  5. Step 5: Solve for x
    x = 59,178,240,327.17/157,138.31
  6. Step 6: Final answer
    x = 376,599.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.