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Finding the Third Proportional to 77,280 and 169,320

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Solution

The third proportional to 77,280 and 169,320 is: 370,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,280 : 169,320 = 169,320 : x
  2. Step 2: Convert to fraction form
    77,280/169,320 = 169,320/x
  3. Step 3: Cross multiply
    77,280x = 169,320 × 169,320
  4. Step 4: Simplify right side
    77,280x = 28,669,262,400
  5. Step 5: Solve for x
    x = 28,669,262,400/77,280
  6. Step 6: Final answer
    x = 370,979.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.