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Finding the Third Proportional to 15,887 and 34,389

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Solution

The third proportional to 15,887 and 34,389 is: 74,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887 : 34,389 = 34,389 : x
  2. Step 2: Convert to fraction form
    15,887/34,389 = 34,389/x
  3. Step 3: Cross multiply
    15,887x = 34,389 × 34,389
  4. Step 4: Simplify right side
    15,887x = 1,182,603,321
  5. Step 5: Solve for x
    x = 1,182,603,321/15,887
  6. Step 6: Final answer
    x = 74,438.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.