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Finding the Third Proportional to 258,165.38 and 371,830.31

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Solution

The third proportional to 258,165.38 and 371,830.31 is: 535,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,165.38 : 371,830.31 = 371,830.31 : x
  2. Step 2: Convert to fraction form
    258,165.38/371,830.31 = 371,830.31/x
  3. Step 3: Cross multiply
    258,165.38x = 371,830.31 × 371,830.31
  4. Step 4: Simplify right side
    258,165.38x = 138,257,781,293.85
  5. Step 5: Solve for x
    x = 138,257,781,293.85/258,165.38
  6. Step 6: Final answer
    x = 535,539.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.