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Finding the Third Proportional to 56,253 and 82,158.19

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Solution

The third proportional to 56,253 and 82,158.19 is: 119,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,253 : 82,158.19 = 82,158.19 : x
  2. Step 2: Convert to fraction form
    56,253/82,158.19 = 82,158.19/x
  3. Step 3: Cross multiply
    56,253x = 82,158.19 × 82,158.19
  4. Step 4: Simplify right side
    56,253x = 6,749,967,773.29
  5. Step 5: Solve for x
    x = 6,749,967,773.29/56,253
  6. Step 6: Final answer
    x = 119,993.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.