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Finding the Third Proportional to 109,351 and 178,559

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Solution

The third proportional to 109,351 and 178,559 is: 291,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,351 : 178,559 = 178,559 : x
  2. Step 2: Convert to fraction form
    109,351/178,559 = 178,559/x
  3. Step 3: Cross multiply
    109,351x = 178,559 × 178,559
  4. Step 4: Simplify right side
    109,351x = 31,883,316,481
  5. Step 5: Solve for x
    x = 31,883,316,481/109,351
  6. Step 6: Final answer
    x = 291,568.59

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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.