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Finding the Third Proportional to 77,630 and 169,468

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Solution

The third proportional to 77,630 and 169,468 is: 369,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,630 : 169,468 = 169,468 : x
  2. Step 2: Convert to fraction form
    77,630/169,468 = 169,468/x
  3. Step 3: Cross multiply
    77,630x = 169,468 × 169,468
  4. Step 4: Simplify right side
    77,630x = 28,719,403,024
  5. Step 5: Solve for x
    x = 28,719,403,024/77,630
  6. Step 6: Final answer
    x = 369,952.38

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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.