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Finding the Third Proportional to 76,879.13 and 103,442.06

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Solution

The third proportional to 76,879.13 and 103,442.06 is: 139,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879.13 : 103,442.06 = 103,442.06 : x
  2. Step 2: Convert to fraction form
    76,879.13/103,442.06 = 103,442.06/x
  3. Step 3: Cross multiply
    76,879.13x = 103,442.06 × 103,442.06
  4. Step 4: Simplify right side
    76,879.13x = 10,700,260,294.25
  5. Step 5: Solve for x
    x = 10,700,260,294.25/76,879.13
  6. Step 6: Final answer
    x = 139,182.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.