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Finding the Third Proportional to 408,512 and 865,600

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Solution

The third proportional to 408,512 and 865,600 is: 1,834,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,512 : 865,600 = 865,600 : x
  2. Step 2: Convert to fraction form
    408,512/865,600 = 865,600/x
  3. Step 3: Cross multiply
    408,512x = 865,600 × 865,600
  4. Step 4: Simplify right side
    408,512x = 749,263,360,000
  5. Step 5: Solve for x
    x = 749,263,360,000/408,512
  6. Step 6: Final answer
    x = 1,834,128.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.