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Finding the Third Proportional to 82,121 and 130,562

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Solution

The third proportional to 82,121 and 130,562 is: 207,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,121 : 130,562 = 130,562 : x
  2. Step 2: Convert to fraction form
    82,121/130,562 = 130,562/x
  3. Step 3: Cross multiply
    82,121x = 130,562 × 130,562
  4. Step 4: Simplify right side
    82,121x = 17,046,435,844
  5. Step 5: Solve for x
    x = 17,046,435,844/82,121
  6. Step 6: Final answer
    x = 207,577.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.