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Finding the Third Proportional to 82,820 and 129,151

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Solution

The third proportional to 82,820 and 129,151 is: 201,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,820 : 129,151 = 129,151 : x
  2. Step 2: Convert to fraction form
    82,820/129,151 = 129,151/x
  3. Step 3: Cross multiply
    82,820x = 129,151 × 129,151
  4. Step 4: Simplify right side
    82,820x = 16,679,980,801
  5. Step 5: Solve for x
    x = 16,679,980,801/82,820
  6. Step 6: Final answer
    x = 201,400.40

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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.