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Finding the Third Proportional to 39,485 and 87,718

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Solution

The third proportional to 39,485 and 87,718 is: 194,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,485 : 87,718 = 87,718 : x
  2. Step 2: Convert to fraction form
    39,485/87,718 = 87,718/x
  3. Step 3: Cross multiply
    39,485x = 87,718 × 87,718
  4. Step 4: Simplify right side
    39,485x = 7,694,447,524
  5. Step 5: Solve for x
    x = 7,694,447,524/39,485
  6. Step 6: Final answer
    x = 194,870.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.