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Finding the Third Proportional to 129,152 and 284,416

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Solution

The third proportional to 129,152 and 284,416 is: 626,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,152 : 284,416 = 284,416 : x
  2. Step 2: Convert to fraction form
    129,152/284,416 = 284,416/x
  3. Step 3: Cross multiply
    129,152x = 284,416 × 284,416
  4. Step 4: Simplify right side
    129,152x = 80,892,461,056
  5. Step 5: Solve for x
    x = 80,892,461,056/129,152
  6. Step 6: Final answer
    x = 626,335.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.