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Finding the Third Proportional to 136,021 and 319,943

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Solution

The third proportional to 136,021 and 319,943 is: 752,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,021 : 319,943 = 319,943 : x
  2. Step 2: Convert to fraction form
    136,021/319,943 = 319,943/x
  3. Step 3: Cross multiply
    136,021x = 319,943 × 319,943
  4. Step 4: Simplify right side
    136,021x = 102,363,523,249
  5. Step 5: Solve for x
    x = 102,363,523,249/136,021
  6. Step 6: Final answer
    x = 752,556.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.