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Finding the Third Proportional to 77,717 and 169,486

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Solution

The third proportional to 77,717 and 169,486 is: 369,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,717 : 169,486 = 169,486 : x
  2. Step 2: Convert to fraction form
    77,717/169,486 = 169,486/x
  3. Step 3: Cross multiply
    77,717x = 169,486 × 169,486
  4. Step 4: Simplify right side
    77,717x = 28,725,504,196
  5. Step 5: Solve for x
    x = 28,725,504,196/77,717
  6. Step 6: Final answer
    x = 369,616.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.