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Finding the Third Proportional to 7,720 and 12,434

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Solution

The third proportional to 7,720 and 12,434 is: 20,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720 : 12,434 = 12,434 : x
  2. Step 2: Convert to fraction form
    7,720/12,434 = 12,434/x
  3. Step 3: Cross multiply
    7,720x = 12,434 × 12,434
  4. Step 4: Simplify right side
    7,720x = 154,604,356
  5. Step 5: Solve for x
    x = 154,604,356/7,720
  6. Step 6: Final answer
    x = 20,026.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.