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Finding the Third Proportional to 15,158 and 32,421

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Solution

The third proportional to 15,158 and 32,421 is: 69,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,158 : 32,421 = 32,421 : x
  2. Step 2: Convert to fraction form
    15,158/32,421 = 32,421/x
  3. Step 3: Cross multiply
    15,158x = 32,421 × 32,421
  4. Step 4: Simplify right side
    15,158x = 1,051,121,241
  5. Step 5: Solve for x
    x = 1,051,121,241/15,158
  6. Step 6: Final answer
    x = 69,344.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.