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Finding the Third Proportional to 109,344 and 178,550

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Solution

The third proportional to 109,344 and 178,550 is: 291,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,344 : 178,550 = 178,550 : x
  2. Step 2: Convert to fraction form
    109,344/178,550 = 178,550/x
  3. Step 3: Cross multiply
    109,344x = 178,550 × 178,550
  4. Step 4: Simplify right side
    109,344x = 31,880,102,500
  5. Step 5: Solve for x
    x = 31,880,102,500/109,344
  6. Step 6: Final answer
    x = 291,557.86

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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.