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Finding the Third Proportional to 30,758.48 and 66,318.12

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Solution

The third proportional to 30,758.48 and 66,318.12 is: 142,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.48 : 66,318.12 = 66,318.12 : x
  2. Step 2: Convert to fraction form
    30,758.48/66,318.12 = 66,318.12/x
  3. Step 3: Cross multiply
    30,758.48x = 66,318.12 × 66,318.12
  4. Step 4: Simplify right side
    30,758.48x = 4,398,092,667.29
  5. Step 5: Solve for x
    x = 4,398,092,667.29/30,758.48
  6. Step 6: Final answer
    x = 142,987.95

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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.