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Finding the Third Proportional to 40,702.78 and 87,246.42

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Solution

The third proportional to 40,702.78 and 87,246.42 is: 187,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,702.78 : 87,246.42 = 87,246.42 : x
  2. Step 2: Convert to fraction form
    40,702.78/87,246.42 = 87,246.42/x
  3. Step 3: Cross multiply
    40,702.78x = 87,246.42 × 87,246.42
  4. Step 4: Simplify right side
    40,702.78x = 7,611,938,129.99
  5. Step 5: Solve for x
    x = 7,611,938,129.99/40,702.78
  6. Step 6: Final answer
    x = 187,012.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.