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Finding the Third Proportional to 318,453 and 497,058.75

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Solution

The third proportional to 318,453 and 497,058.75 is: 775,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,453 : 497,058.75 = 497,058.75 : x
  2. Step 2: Convert to fraction form
    318,453/497,058.75 = 497,058.75/x
  3. Step 3: Cross multiply
    318,453x = 497,058.75 × 497,058.75
  4. Step 4: Simplify right side
    318,453x = 247,067,400,951.56
  5. Step 5: Solve for x
    x = 247,067,400,951.56/318,453
  6. Step 6: Final answer
    x = 775,836.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.