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Finding the Third Proportional to 77,280 and 168,624

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Solution

The third proportional to 77,280 and 168,624 is: 367,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,280 : 168,624 = 168,624 : x
  2. Step 2: Convert to fraction form
    77,280/168,624 = 168,624/x
  3. Step 3: Cross multiply
    77,280x = 168,624 × 168,624
  4. Step 4: Simplify right side
    77,280x = 28,434,053,376
  5. Step 5: Solve for x
    x = 28,434,053,376/77,280
  6. Step 6: Final answer
    x = 367,935.47

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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.