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Finding the Third Proportional to 202,257 and 314,042

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Solution

The third proportional to 202,257 and 314,042 is: 487,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,257 : 314,042 = 314,042 : x
  2. Step 2: Convert to fraction form
    202,257/314,042 = 314,042/x
  3. Step 3: Cross multiply
    202,257x = 314,042 × 314,042
  4. Step 4: Simplify right side
    202,257x = 98,622,377,764
  5. Step 5: Solve for x
    x = 98,622,377,764/202,257
  6. Step 6: Final answer
    x = 487,609.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.