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Finding the Third Proportional to 51,508.41 and 78,747.19

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Solution

The third proportional to 51,508.41 and 78,747.19 is: 120,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508.41 : 78,747.19 = 78,747.19 : x
  2. Step 2: Convert to fraction form
    51,508.41/78,747.19 = 78,747.19/x
  3. Step 3: Cross multiply
    51,508.41x = 78,747.19 × 78,747.19
  4. Step 4: Simplify right side
    51,508.41x = 6,201,119,539.16
  5. Step 5: Solve for x
    x = 6,201,119,539.16/51,508.41
  6. Step 6: Final answer
    x = 120,390.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.