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Finding the Third Proportional to 129,684 and 286,584

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Solution

The third proportional to 129,684 and 286,584 is: 633,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,684 : 286,584 = 286,584 : x
  2. Step 2: Convert to fraction form
    129,684/286,584 = 286,584/x
  3. Step 3: Cross multiply
    129,684x = 286,584 × 286,584
  4. Step 4: Simplify right side
    129,684x = 82,130,389,056
  5. Step 5: Solve for x
    x = 82,130,389,056/129,684
  6. Step 6: Final answer
    x = 633,311.66

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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.