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Finding the Third Proportional to 56,052 and 84,078

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Solution

The third proportional to 56,052 and 84,078 is: 126,117

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,052 : 84,078 = 84,078 : x
  2. Step 2: Convert to fraction form
    56,052/84,078 = 84,078/x
  3. Step 3: Cross multiply
    56,052x = 84,078 × 84,078
  4. Step 4: Simplify right side
    56,052x = 7,069,110,084
  5. Step 5: Solve for x
    x = 7,069,110,084/56,052
  6. Step 6: Final answer
    x = 126,117

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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.