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Finding the Third Proportional to 30,640.78 and 48,146.91

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Solution

The third proportional to 30,640.78 and 48,146.91 is: 75,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.78 : 48,146.91 = 48,146.91 : x
  2. Step 2: Convert to fraction form
    30,640.78/48,146.91 = 48,146.91/x
  3. Step 3: Cross multiply
    30,640.78x = 48,146.91 × 48,146.91
  4. Step 4: Simplify right side
    30,640.78x = 2,318,124,581.45
  5. Step 5: Solve for x
    x = 2,318,124,581.45/30,640.78
  6. Step 6: Final answer
    x = 75,654.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.