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Finding the Third Proportional to 89,695 and 138,916.50

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Solution

The third proportional to 89,695 and 138,916.50 is: 215,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,695 : 138,916.50 = 138,916.50 : x
  2. Step 2: Convert to fraction form
    89,695/138,916.50 = 138,916.50/x
  3. Step 3: Cross multiply
    89,695x = 138,916.50 × 138,916.50
  4. Step 4: Simplify right side
    89,695x = 19,297,793,972.25
  5. Step 5: Solve for x
    x = 19,297,793,972.25/89,695
  6. Step 6: Final answer
    x = 215,149.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.