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Finding the Third Proportional to 27,746 and 43,478

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Solution

The third proportional to 27,746 and 43,478 is: 68,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746 : 43,478 = 43,478 : x
  2. Step 2: Convert to fraction form
    27,746/43,478 = 43,478/x
  3. Step 3: Cross multiply
    27,746x = 43,478 × 43,478
  4. Step 4: Simplify right side
    27,746x = 1,890,336,484
  5. Step 5: Solve for x
    x = 1,890,336,484/27,746
  6. Step 6: Final answer
    x = 68,130.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.