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Finding the Third Proportional to 39,503 and 86,386

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Solution

The third proportional to 39,503 and 86,386 is: 188,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,503 : 86,386 = 86,386 : x
  2. Step 2: Convert to fraction form
    39,503/86,386 = 86,386/x
  3. Step 3: Cross multiply
    39,503x = 86,386 × 86,386
  4. Step 4: Simplify right side
    39,503x = 7,462,540,996
  5. Step 5: Solve for x
    x = 7,462,540,996/39,503
  6. Step 6: Final answer
    x = 188,910.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.