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Finding the Third Proportional to 81,140 and 121,032

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Solution

The third proportional to 81,140 and 121,032 is: 180,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,140 : 121,032 = 121,032 : x
  2. Step 2: Convert to fraction form
    81,140/121,032 = 121,032/x
  3. Step 3: Cross multiply
    81,140x = 121,032 × 121,032
  4. Step 4: Simplify right side
    81,140x = 14,648,745,024
  5. Step 5: Solve for x
    x = 14,648,745,024/81,140
  6. Step 6: Final answer
    x = 180,536.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.