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Finding the Third Proportional to 247,028 and 531,518

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Solution

The third proportional to 247,028 and 531,518 is: 1,143,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,028 : 531,518 = 531,518 : x
  2. Step 2: Convert to fraction form
    247,028/531,518 = 531,518/x
  3. Step 3: Cross multiply
    247,028x = 531,518 × 531,518
  4. Step 4: Simplify right side
    247,028x = 282,511,384,324
  5. Step 5: Solve for x
    x = 282,511,384,324/247,028
  6. Step 6: Final answer
    x = 1,143,641.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.