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Finding the Third Proportional to 202,043 and 313,703

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Solution

The third proportional to 202,043 and 313,703 is: 487,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,043 : 313,703 = 313,703 : x
  2. Step 2: Convert to fraction form
    202,043/313,703 = 313,703/x
  3. Step 3: Cross multiply
    202,043x = 313,703 × 313,703
  4. Step 4: Simplify right side
    202,043x = 98,409,572,209
  5. Step 5: Solve for x
    x = 98,409,572,209/202,043
  6. Step 6: Final answer
    x = 487,072.42

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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.