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Finding the Third Proportional to 129,688 and 286,592

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Solution

The third proportional to 129,688 and 286,592 is: 633,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,688 : 286,592 = 286,592 : x
  2. Step 2: Convert to fraction form
    129,688/286,592 = 286,592/x
  3. Step 3: Cross multiply
    129,688x = 286,592 × 286,592
  4. Step 4: Simplify right side
    129,688x = 82,134,974,464
  5. Step 5: Solve for x
    x = 82,134,974,464/129,688
  6. Step 6: Final answer
    x = 633,327.48

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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.