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Finding the Third Proportional to 12,340 and 15,678

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Solution

The third proportional to 12,340 and 15,678 is: 19,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340 : 15,678 = 15,678 : x
  2. Step 2: Convert to fraction form
    12,340/15,678 = 15,678/x
  3. Step 3: Cross multiply
    12,340x = 15,678 × 15,678
  4. Step 4: Simplify right side
    12,340x = 245,799,684
  5. Step 5: Solve for x
    x = 245,799,684/12,340
  6. Step 6: Final answer
    x = 19,918.94

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.