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Finding the Third Proportional to 27,981.07 and 39,781.76

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Solution

The third proportional to 27,981.07 and 39,781.76 is: 56,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981.07 : 39,781.76 = 39,781.76 : x
  2. Step 2: Convert to fraction form
    27,981.07/39,781.76 = 39,781.76/x
  3. Step 3: Cross multiply
    27,981.07x = 39,781.76 × 39,781.76
  4. Step 4: Simplify right side
    27,981.07x = 1,582,588,254.65
  5. Step 5: Solve for x
    x = 1,582,588,254.65/27,981.07
  6. Step 6: Final answer
    x = 56,559.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.