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Finding the Third Proportional to 129,686 and 286,588

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Solution

The third proportional to 129,686 and 286,588 is: 633,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,686 : 286,588 = 286,588 : x
  2. Step 2: Convert to fraction form
    129,686/286,588 = 286,588/x
  3. Step 3: Cross multiply
    129,686x = 286,588 × 286,588
  4. Step 4: Simplify right side
    129,686x = 82,132,681,744
  5. Step 5: Solve for x
    x = 82,132,681,744/129,686
  6. Step 6: Final answer
    x = 633,319.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.