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Finding the Third Proportional to 153,156 and 324,496

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Solution

The third proportional to 153,156 and 324,496 is: 687,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,156 : 324,496 = 324,496 : x
  2. Step 2: Convert to fraction form
    153,156/324,496 = 324,496/x
  3. Step 3: Cross multiply
    153,156x = 324,496 × 324,496
  4. Step 4: Simplify right side
    153,156x = 105,297,654,016
  5. Step 5: Solve for x
    x = 105,297,654,016/153,156
  6. Step 6: Final answer
    x = 687,518.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.