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Finding the Third Proportional to 202,873 and 315,789

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Solution

The third proportional to 202,873 and 315,789 is: 491,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,873 : 315,789 = 315,789 : x
  2. Step 2: Convert to fraction form
    202,873/315,789 = 315,789/x
  3. Step 3: Cross multiply
    202,873x = 315,789 × 315,789
  4. Step 4: Simplify right side
    202,873x = 99,722,692,521
  5. Step 5: Solve for x
    x = 99,722,692,521/202,873
  6. Step 6: Final answer
    x = 491,552.31

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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.