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Finding the Third Proportional to 153,263 and 327,478

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Solution

The third proportional to 153,263 and 327,478 is: 699,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,263 : 327,478 = 327,478 : x
  2. Step 2: Convert to fraction form
    153,263/327,478 = 327,478/x
  3. Step 3: Cross multiply
    153,263x = 327,478 × 327,478
  4. Step 4: Simplify right side
    153,263x = 107,241,840,484
  5. Step 5: Solve for x
    x = 107,241,840,484/153,263
  6. Step 6: Final answer
    x = 699,724.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.