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Finding the Third Proportional to 81,460 and 126,130

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Solution

The third proportional to 81,460 and 126,130 is: 195,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460 : 126,130 = 126,130 : x
  2. Step 2: Convert to fraction form
    81,460/126,130 = 126,130/x
  3. Step 3: Cross multiply
    81,460x = 126,130 × 126,130
  4. Step 4: Simplify right side
    81,460x = 15,908,776,900
  5. Step 5: Solve for x
    x = 15,908,776,900/81,460
  6. Step 6: Final answer
    x = 195,295.57

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Why These Related Problems?

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