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Finding the Third Proportional to 15,430 and 21,677

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Solution

The third proportional to 15,430 and 21,677 is: 30,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430 : 21,677 = 21,677 : x
  2. Step 2: Convert to fraction form
    15,430/21,677 = 21,677/x
  3. Step 3: Cross multiply
    15,430x = 21,677 × 21,677
  4. Step 4: Simplify right side
    15,430x = 469,892,329
  5. Step 5: Solve for x
    x = 469,892,329/15,430
  6. Step 6: Final answer
    x = 30,453.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.