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Finding the Third Proportional to 56,764.13 and 78,711.75

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Solution

The third proportional to 56,764.13 and 78,711.75 is: 109,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,764.13 : 78,711.75 = 78,711.75 : x
  2. Step 2: Convert to fraction form
    56,764.13/78,711.75 = 78,711.75/x
  3. Step 3: Cross multiply
    56,764.13x = 78,711.75 × 78,711.75
  4. Step 4: Simplify right side
    56,764.13x = 6,195,539,588.06
  5. Step 5: Solve for x
    x = 6,195,539,588.06/56,764.13
  6. Step 6: Final answer
    x = 109,145.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.