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Finding the Third Proportional to 86,205 and 129,411

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Solution

The third proportional to 86,205 and 129,411 is: 194,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,205 : 129,411 = 129,411 : x
  2. Step 2: Convert to fraction form
    86,205/129,411 = 129,411/x
  3. Step 3: Cross multiply
    86,205x = 129,411 × 129,411
  4. Step 4: Simplify right side
    86,205x = 16,747,206,921
  5. Step 5: Solve for x
    x = 16,747,206,921/86,205
  6. Step 6: Final answer
    x = 194,271.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.