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Finding the Third Proportional to 3,420 and 4,870

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Solution

The third proportional to 3,420 and 4,870 is: 6,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 4,870 = 4,870 : x
  2. Step 2: Convert to fraction form
    3,420/4,870 = 4,870/x
  3. Step 3: Cross multiply
    3,420x = 4,870 × 4,870
  4. Step 4: Simplify right side
    3,420x = 23,716,900
  5. Step 5: Solve for x
    x = 23,716,900/3,420
  6. Step 6: Final answer
    x = 6,934.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.