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Finding the Third Proportional to 39,114 and 84,309

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Solution

The third proportional to 39,114 and 84,309 is: 181,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114 : 84,309 = 84,309 : x
  2. Step 2: Convert to fraction form
    39,114/84,309 = 84,309/x
  3. Step 3: Cross multiply
    39,114x = 84,309 × 84,309
  4. Step 4: Simplify right side
    39,114x = 7,108,007,481
  5. Step 5: Solve for x
    x = 7,108,007,481/39,114
  6. Step 6: Final answer
    x = 181,725.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.