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Finding the Third Proportional to 89,031 and 138,652.50

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Solution

The third proportional to 89,031 and 138,652.50 is: 215,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031 : 138,652.50 = 138,652.50 : x
  2. Step 2: Convert to fraction form
    89,031/138,652.50 = 138,652.50/x
  3. Step 3: Cross multiply
    89,031x = 138,652.50 × 138,652.50
  4. Step 4: Simplify right side
    89,031x = 19,224,515,756.25
  5. Step 5: Solve for x
    x = 19,224,515,756.25/89,031
  6. Step 6: Final answer
    x = 215,930.58

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Why These Related Problems?

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