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Finding the Third Proportional to 107,911 and 169,280

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Solution

The third proportional to 107,911 and 169,280 is: 265,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,911 : 169,280 = 169,280 : x
  2. Step 2: Convert to fraction form
    107,911/169,280 = 169,280/x
  3. Step 3: Cross multiply
    107,911x = 169,280 × 169,280
  4. Step 4: Simplify right side
    107,911x = 28,655,718,400
  5. Step 5: Solve for x
    x = 28,655,718,400/107,911
  6. Step 6: Final answer
    x = 265,549.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.