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Finding the Third Proportional to 109,342 and 178,545

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Solution

The third proportional to 109,342 and 178,545 is: 291,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,342 : 178,545 = 178,545 : x
  2. Step 2: Convert to fraction form
    109,342/178,545 = 178,545/x
  3. Step 3: Cross multiply
    109,342x = 178,545 × 178,545
  4. Step 4: Simplify right side
    109,342x = 31,878,317,025
  5. Step 5: Solve for x
    x = 31,878,317,025/109,342
  6. Step 6: Final answer
    x = 291,546.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.