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Finding the Third Proportional to 151,972 and 329,702

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Solution

The third proportional to 151,972 and 329,702 is: 715,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,972 : 329,702 = 329,702 : x
  2. Step 2: Convert to fraction form
    151,972/329,702 = 329,702/x
  3. Step 3: Cross multiply
    151,972x = 329,702 × 329,702
  4. Step 4: Simplify right side
    151,972x = 108,703,408,804
  5. Step 5: Solve for x
    x = 108,703,408,804/151,972
  6. Step 6: Final answer
    x = 715,285.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.