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Finding the Third Proportional to 265,997.67 and 408,862.69

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Solution

The third proportional to 265,997.67 and 408,862.69 is: 628,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,997.67 : 408,862.69 = 408,862.69 : x
  2. Step 2: Convert to fraction form
    265,997.67/408,862.69 = 408,862.69/x
  3. Step 3: Cross multiply
    265,997.67x = 408,862.69 × 408,862.69
  4. Step 4: Simplify right side
    265,997.67x = 167,168,697,229.72
  5. Step 5: Solve for x
    x = 167,168,697,229.72/265,997.67
  6. Step 6: Final answer
    x = 628,459.25

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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.