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Finding the Third Proportional to 81,862.50 and 180,931

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Solution

The third proportional to 81,862.50 and 180,931 is: 399,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862.50 : 180,931 = 180,931 : x
  2. Step 2: Convert to fraction form
    81,862.50/180,931 = 180,931/x
  3. Step 3: Cross multiply
    81,862.50x = 180,931 × 180,931
  4. Step 4: Simplify right side
    81,862.50x = 32,736,026,761
  5. Step 5: Solve for x
    x = 32,736,026,761/81,862.50
  6. Step 6: Final answer
    x = 399,890.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.