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Finding the Third Proportional to 202,871 and 315,788

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Solution

The third proportional to 202,871 and 315,788 is: 491,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,871 : 315,788 = 315,788 : x
  2. Step 2: Convert to fraction form
    202,871/315,788 = 315,788/x
  3. Step 3: Cross multiply
    202,871x = 315,788 × 315,788
  4. Step 4: Simplify right side
    202,871x = 99,722,060,944
  5. Step 5: Solve for x
    x = 99,722,060,944/202,871
  6. Step 6: Final answer
    x = 491,554.05

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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.