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Finding the Third Proportional to 38,985 and 83,289

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Solution

The third proportional to 38,985 and 83,289 is: 177,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,985 : 83,289 = 83,289 : x
  2. Step 2: Convert to fraction form
    38,985/83,289 = 83,289/x
  3. Step 3: Cross multiply
    38,985x = 83,289 × 83,289
  4. Step 4: Simplify right side
    38,985x = 6,937,057,521
  5. Step 5: Solve for x
    x = 6,937,057,521/38,985
  6. Step 6: Final answer
    x = 177,941.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.