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Finding the Third Proportional to 77,668 and 169,448

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Solution

The third proportional to 77,668 and 169,448 is: 369,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668 : 169,448 = 169,448 : x
  2. Step 2: Convert to fraction form
    77,668/169,448 = 169,448/x
  3. Step 3: Cross multiply
    77,668x = 169,448 × 169,448
  4. Step 4: Simplify right side
    77,668x = 28,712,624,704
  5. Step 5: Solve for x
    x = 28,712,624,704/77,668
  6. Step 6: Final answer
    x = 369,684.10

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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.