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Finding the Third Proportional to 100,386 and 186,408

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Solution

The third proportional to 100,386 and 186,408 is: 346,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,386 : 186,408 = 186,408 : x
  2. Step 2: Convert to fraction form
    100,386/186,408 = 186,408/x
  3. Step 3: Cross multiply
    100,386x = 186,408 × 186,408
  4. Step 4: Simplify right side
    100,386x = 34,747,942,464
  5. Step 5: Solve for x
    x = 34,747,942,464/100,386
  6. Step 6: Final answer
    x = 346,143.31

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.