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Finding the Third Proportional to 265,862 and 408,650

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Solution

The third proportional to 265,862 and 408,650 is: 628,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,862 : 408,650 = 408,650 : x
  2. Step 2: Convert to fraction form
    265,862/408,650 = 408,650/x
  3. Step 3: Cross multiply
    265,862x = 408,650 × 408,650
  4. Step 4: Simplify right side
    265,862x = 166,994,822,500
  5. Step 5: Solve for x
    x = 166,994,822,500/265,862
  6. Step 6: Final answer
    x = 628,125.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.