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Finding the Third Proportional to 262,297.50 and 398,575.50

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Solution

The third proportional to 262,297.50 and 398,575.50 is: 605,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,297.50 : 398,575.50 = 398,575.50 : x
  2. Step 2: Convert to fraction form
    262,297.50/398,575.50 = 398,575.50/x
  3. Step 3: Cross multiply
    262,297.50x = 398,575.50 × 398,575.50
  4. Step 4: Simplify right side
    262,297.50x = 158,862,429,200.25
  5. Step 5: Solve for x
    x = 158,862,429,200.25/262,297.50
  6. Step 6: Final answer
    x = 605,657.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.