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Finding the Third Proportional to 106,911 and 169,275

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Solution

The third proportional to 106,911 and 169,275 is: 268,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911 : 169,275 = 169,275 : x
  2. Step 2: Convert to fraction form
    106,911/169,275 = 169,275/x
  3. Step 3: Cross multiply
    106,911x = 169,275 × 169,275
  4. Step 4: Simplify right side
    106,911x = 28,654,025,625
  5. Step 5: Solve for x
    x = 28,654,025,625/106,911
  6. Step 6: Final answer
    x = 268,017.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.