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Finding the Third Proportional to 8,460 and 12,614

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Solution

The third proportional to 8,460 and 12,614 is: 18,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 12,614 = 12,614 : x
  2. Step 2: Convert to fraction form
    8,460/12,614 = 12,614/x
  3. Step 3: Cross multiply
    8,460x = 12,614 × 12,614
  4. Step 4: Simplify right side
    8,460x = 159,112,996
  5. Step 5: Solve for x
    x = 159,112,996/8,460
  6. Step 6: Final answer
    x = 18,807.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.