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Finding the Third Proportional to 109,359 and 178,572.75

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Solution

The third proportional to 109,359 and 178,572.75 is: 291,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,359 : 178,572.75 = 178,572.75 : x
  2. Step 2: Convert to fraction form
    109,359/178,572.75 = 178,572.75/x
  3. Step 3: Cross multiply
    109,359x = 178,572.75 × 178,572.75
  4. Step 4: Simplify right side
    109,359x = 31,888,227,042.56
  5. Step 5: Solve for x
    x = 31,888,227,042.56/109,359
  6. Step 6: Final answer
    x = 291,592.16

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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.