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Finding the Third Proportional to 72,105 and 155,304

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Solution

The third proportional to 72,105 and 155,304 is: 334,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,105 : 155,304 = 155,304 : x
  2. Step 2: Convert to fraction form
    72,105/155,304 = 155,304/x
  3. Step 3: Cross multiply
    72,105x = 155,304 × 155,304
  4. Step 4: Simplify right side
    72,105x = 24,119,332,416
  5. Step 5: Solve for x
    x = 24,119,332,416/72,105
  6. Step 6: Final answer
    x = 334,502.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.