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Finding the Third Proportional to 52,116.75 and 78,148.13

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Solution

The third proportional to 52,116.75 and 78,148.13 is: 117,181.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116.75 : 78,148.13 = 78,148.13 : x
  2. Step 2: Convert to fraction form
    52,116.75/78,148.13 = 78,148.13/x
  3. Step 3: Cross multiply
    52,116.75x = 78,148.13 × 78,148.13
  4. Step 4: Simplify right side
    52,116.75x = 6,107,129,441.02
  5. Step 5: Solve for x
    x = 6,107,129,441.02/52,116.75
  6. Step 6: Final answer
    x = 117,181.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.