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Finding the Third Proportional to 77,720 and 169,280

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Solution

The third proportional to 77,720 and 169,280 is: 368,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,720 : 169,280 = 169,280 : x
  2. Step 2: Convert to fraction form
    77,720/169,280 = 169,280/x
  3. Step 3: Cross multiply
    77,720x = 169,280 × 169,280
  4. Step 4: Simplify right side
    77,720x = 28,655,718,400
  5. Step 5: Solve for x
    x = 28,655,718,400/77,720
  6. Step 6: Final answer
    x = 368,704.56

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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.