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Finding the Third Proportional to 89,810 and 140,475

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Solution

The third proportional to 89,810 and 140,475 is: 219,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,810 : 140,475 = 140,475 : x
  2. Step 2: Convert to fraction form
    89,810/140,475 = 140,475/x
  3. Step 3: Cross multiply
    89,810x = 140,475 × 140,475
  4. Step 4: Simplify right side
    89,810x = 19,733,225,625
  5. Step 5: Solve for x
    x = 19,733,225,625/89,810
  6. Step 6: Final answer
    x = 219,721.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.