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Finding the Third Proportional to 55,785 and 78,025

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Solution

The third proportional to 55,785 and 78,025 is: 109,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,785 : 78,025 = 78,025 : x
  2. Step 2: Convert to fraction form
    55,785/78,025 = 78,025/x
  3. Step 3: Cross multiply
    55,785x = 78,025 × 78,025
  4. Step 4: Simplify right side
    55,785x = 6,087,900,625
  5. Step 5: Solve for x
    x = 6,087,900,625/55,785
  6. Step 6: Final answer
    x = 109,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.