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Finding the Third Proportional to 130,762 and 202,839

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Solution

The third proportional to 130,762 and 202,839 is: 314,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,762 : 202,839 = 202,839 : x
  2. Step 2: Convert to fraction form
    130,762/202,839 = 202,839/x
  3. Step 3: Cross multiply
    130,762x = 202,839 × 202,839
  4. Step 4: Simplify right side
    130,762x = 41,143,659,921
  5. Step 5: Solve for x
    x = 41,143,659,921/130,762
  6. Step 6: Final answer
    x = 314,645.39

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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.