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Finding the Third Proportional to 202,128 and 313,850

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Solution

The third proportional to 202,128 and 313,850 is: 487,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,128 : 313,850 = 313,850 : x
  2. Step 2: Convert to fraction form
    202,128/313,850 = 313,850/x
  3. Step 3: Cross multiply
    202,128x = 313,850 × 313,850
  4. Step 4: Simplify right side
    202,128x = 98,501,822,500
  5. Step 5: Solve for x
    x = 98,501,822,500/202,128
  6. Step 6: Final answer
    x = 487,323.99

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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.