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Finding the Third Proportional to 145,632 and 219,782

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Solution

The third proportional to 145,632 and 219,782 is: 331,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,632 : 219,782 = 219,782 : x
  2. Step 2: Convert to fraction form
    145,632/219,782 = 219,782/x
  3. Step 3: Cross multiply
    145,632x = 219,782 × 219,782
  4. Step 4: Simplify right side
    145,632x = 48,304,127,524
  5. Step 5: Solve for x
    x = 48,304,127,524/145,632
  6. Step 6: Final answer
    x = 331,686.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.