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Finding the Third Proportional to 103,959 and 215,334

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Solution

The third proportional to 103,959 and 215,334 is: 446,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,959 : 215,334 = 215,334 : x
  2. Step 2: Convert to fraction form
    103,959/215,334 = 215,334/x
  3. Step 3: Cross multiply
    103,959x = 215,334 × 215,334
  4. Step 4: Simplify right side
    103,959x = 46,368,731,556
  5. Step 5: Solve for x
    x = 46,368,731,556/103,959
  6. Step 6: Final answer
    x = 446,029.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.