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Finding the Third Proportional to 27,812 and 42,407

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Solution

The third proportional to 27,812 and 42,407 is: 64,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812 : 42,407 = 42,407 : x
  2. Step 2: Convert to fraction form
    27,812/42,407 = 42,407/x
  3. Step 3: Cross multiply
    27,812x = 42,407 × 42,407
  4. Step 4: Simplify right side
    27,812x = 1,798,353,649
  5. Step 5: Solve for x
    x = 1,798,353,649/27,812
  6. Step 6: Final answer
    x = 64,661.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.