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Finding the Third Proportional to 109,348 and 178,554

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Solution

The third proportional to 109,348 and 178,554 is: 291,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,348 : 178,554 = 178,554 : x
  2. Step 2: Convert to fraction form
    109,348/178,554 = 178,554/x
  3. Step 3: Cross multiply
    109,348x = 178,554 × 178,554
  4. Step 4: Simplify right side
    109,348x = 31,881,530,916
  5. Step 5: Solve for x
    x = 31,881,530,916/109,348
  6. Step 6: Final answer
    x = 291,560.26

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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.