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Finding the Third Proportional to 129,682 and 286,580

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Solution

The third proportional to 129,682 and 286,580 is: 633,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,682 : 286,580 = 286,580 : x
  2. Step 2: Convert to fraction form
    129,682/286,580 = 286,580/x
  3. Step 3: Cross multiply
    129,682x = 286,580 × 286,580
  4. Step 4: Simplify right side
    129,682x = 82,128,096,400
  5. Step 5: Solve for x
    x = 82,128,096,400/129,682
  6. Step 6: Final answer
    x = 633,303.75

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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.