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Finding the Third Proportional to 27,855 and 42,018.75

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Solution

The third proportional to 27,855 and 42,018.75 is: 63,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855 : 42,018.75 = 42,018.75 : x
  2. Step 2: Convert to fraction form
    27,855/42,018.75 = 42,018.75/x
  3. Step 3: Cross multiply
    27,855x = 42,018.75 × 42,018.75
  4. Step 4: Simplify right side
    27,855x = 1,765,575,351.56
  5. Step 5: Solve for x
    x = 1,765,575,351.56/27,855
  6. Step 6: Final answer
    x = 63,384.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.