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Finding the Third Proportional to 247,215.80 and 524,781.28

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Solution

The third proportional to 247,215.80 and 524,781.28 is: 1,113,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,215.80 : 524,781.28 = 524,781.28 : x
  2. Step 2: Convert to fraction form
    247,215.80/524,781.28 = 524,781.28/x
  3. Step 3: Cross multiply
    247,215.80x = 524,781.28 × 524,781.28
  4. Step 4: Simplify right side
    247,215.80x = 275,395,393,150.39
  5. Step 5: Solve for x
    x = 275,395,393,150.39/247,215.80
  6. Step 6: Final answer
    x = 1,113,987.85

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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.