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Finding the Third Proportional to 4,290 and 7,844

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Solution

The third proportional to 4,290 and 7,844 is: 14,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290 : 7,844 = 7,844 : x
  2. Step 2: Convert to fraction form
    4,290/7,844 = 7,844/x
  3. Step 3: Cross multiply
    4,290x = 7,844 × 7,844
  4. Step 4: Simplify right side
    4,290x = 61,528,336
  5. Step 5: Solve for x
    x = 61,528,336/4,290
  6. Step 6: Final answer
    x = 14,342.27

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.