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Finding the Third Proportional to 4,497.40 and 6,290.79

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Solution

The third proportional to 4,497.40 and 6,290.79 is: 8,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.40 : 6,290.79 = 6,290.79 : x
  2. Step 2: Convert to fraction form
    4,497.40/6,290.79 = 6,290.79/x
  3. Step 3: Cross multiply
    4,497.40x = 6,290.79 × 6,290.79
  4. Step 4: Simplify right side
    4,497.40x = 39,574,027.03
  5. Step 5: Solve for x
    x = 39,574,027.03/4,497.40
  6. Step 6: Final answer
    x = 8,799.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.