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Finding the Third Proportional to 82,543 and 136,570

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Solution

The third proportional to 82,543 and 136,570 is: 225,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543 : 136,570 = 136,570 : x
  2. Step 2: Convert to fraction form
    82,543/136,570 = 136,570/x
  3. Step 3: Cross multiply
    82,543x = 136,570 × 136,570
  4. Step 4: Simplify right side
    82,543x = 18,651,364,900
  5. Step 5: Solve for x
    x = 18,651,364,900/82,543
  6. Step 6: Final answer
    x = 225,959.38

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.