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Finding the Third Proportional to 159,486 and 345,216

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Solution

The third proportional to 159,486 and 345,216 is: 747,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,486 : 345,216 = 345,216 : x
  2. Step 2: Convert to fraction form
    159,486/345,216 = 345,216/x
  3. Step 3: Cross multiply
    159,486x = 345,216 × 345,216
  4. Step 4: Simplify right side
    159,486x = 119,174,086,656
  5. Step 5: Solve for x
    x = 119,174,086,656/159,486
  6. Step 6: Final answer
    x = 747,238.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.