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Finding the Third Proportional to 56,919 and 81,982.50

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Solution

The third proportional to 56,919 and 81,982.50 is: 118,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,919 : 81,982.50 = 81,982.50 : x
  2. Step 2: Convert to fraction form
    56,919/81,982.50 = 81,982.50/x
  3. Step 3: Cross multiply
    56,919x = 81,982.50 × 81,982.50
  4. Step 4: Simplify right side
    56,919x = 6,721,130,306.25
  5. Step 5: Solve for x
    x = 6,721,130,306.25/56,919
  6. Step 6: Final answer
    x = 118,082.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.