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Finding the Third Proportional to 127,070 and 169,403

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Solution

The third proportional to 127,070 and 169,403 is: 225,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,070 : 169,403 = 169,403 : x
  2. Step 2: Convert to fraction form
    127,070/169,403 = 169,403/x
  3. Step 3: Cross multiply
    127,070x = 169,403 × 169,403
  4. Step 4: Simplify right side
    127,070x = 28,697,376,409
  5. Step 5: Solve for x
    x = 28,697,376,409/127,070
  6. Step 6: Final answer
    x = 225,839.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.