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Finding the Third Proportional to 27,312 and 40,780

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Solution

The third proportional to 27,312 and 40,780 is: 60,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312 : 40,780 = 40,780 : x
  2. Step 2: Convert to fraction form
    27,312/40,780 = 40,780/x
  3. Step 3: Cross multiply
    27,312x = 40,780 × 40,780
  4. Step 4: Simplify right side
    27,312x = 1,663,008,400
  5. Step 5: Solve for x
    x = 1,663,008,400/27,312
  6. Step 6: Final answer
    x = 60,889.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.