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Finding the Third Proportional to 159,489 and 216,699.75

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Solution

The third proportional to 159,489 and 216,699.75 is: 294,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,489 : 216,699.75 = 216,699.75 : x
  2. Step 2: Convert to fraction form
    159,489/216,699.75 = 216,699.75/x
  3. Step 3: Cross multiply
    159,489x = 216,699.75 × 216,699.75
  4. Step 4: Simplify right side
    159,489x = 46,958,781,650.06
  5. Step 5: Solve for x
    x = 46,958,781,650.06/159,489
  6. Step 6: Final answer
    x = 294,432.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.