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Finding the Third Proportional to 177,700 and 268,664

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Solution

The third proportional to 177,700 and 268,664 is: 406,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,700 : 268,664 = 268,664 : x
  2. Step 2: Convert to fraction form
    177,700/268,664 = 268,664/x
  3. Step 3: Cross multiply
    177,700x = 268,664 × 268,664
  4. Step 4: Simplify right side
    177,700x = 72,180,344,896
  5. Step 5: Solve for x
    x = 72,180,344,896/177,700
  6. Step 6: Final answer
    x = 406,192.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.