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Finding the Third Proportional to 40,030 and 85,870

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Solution

The third proportional to 40,030 and 85,870 is: 184,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,030 : 85,870 = 85,870 : x
  2. Step 2: Convert to fraction form
    40,030/85,870 = 85,870/x
  3. Step 3: Cross multiply
    40,030x = 85,870 × 85,870
  4. Step 4: Simplify right side
    40,030x = 7,373,656,900
  5. Step 5: Solve for x
    x = 7,373,656,900/40,030
  6. Step 6: Final answer
    x = 184,203.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.