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Finding the Third Proportional to 105,912 and 155,304

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Solution

The third proportional to 105,912 and 155,304 is: 227,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,912 : 155,304 = 155,304 : x
  2. Step 2: Convert to fraction form
    105,912/155,304 = 155,304/x
  3. Step 3: Cross multiply
    105,912x = 155,304 × 155,304
  4. Step 4: Simplify right side
    105,912x = 24,119,332,416
  5. Step 5: Solve for x
    x = 24,119,332,416/105,912
  6. Step 6: Final answer
    x = 227,729.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.