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Finding the Third Proportional to 257,695.80 and 522,317.11

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Solution

The third proportional to 257,695.80 and 522,317.11 is: 1,058,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,695.80 : 522,317.11 = 522,317.11 : x
  2. Step 2: Convert to fraction form
    257,695.80/522,317.11 = 522,317.11/x
  3. Step 3: Cross multiply
    257,695.80x = 522,317.11 × 522,317.11
  4. Step 4: Simplify right side
    257,695.80x = 272,815,162,745.86
  5. Step 5: Solve for x
    x = 272,815,162,745.86/257,695.80
  6. Step 6: Final answer
    x = 1,058,671.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.