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Finding the Third Proportional to 27,405 and 42,810.75

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Solution

The third proportional to 27,405 and 42,810.75 is: 66,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405 : 42,810.75 = 42,810.75 : x
  2. Step 2: Convert to fraction form
    27,405/42,810.75 = 42,810.75/x
  3. Step 3: Cross multiply
    27,405x = 42,810.75 × 42,810.75
  4. Step 4: Simplify right side
    27,405x = 1,832,760,315.56
  5. Step 5: Solve for x
    x = 1,832,760,315.56/27,405
  6. Step 6: Final answer
    x = 66,876.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.