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Finding the Third Proportional to 39,306 and 80,445

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Solution

The third proportional to 39,306 and 80,445 is: 164,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,306 : 80,445 = 80,445 : x
  2. Step 2: Convert to fraction form
    39,306/80,445 = 80,445/x
  3. Step 3: Cross multiply
    39,306x = 80,445 × 80,445
  4. Step 4: Simplify right side
    39,306x = 6,471,398,025
  5. Step 5: Solve for x
    x = 6,471,398,025/39,306
  6. Step 6: Final answer
    x = 164,641.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.