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Finding the Third Proportional to 4,290.47 and 9,218.81

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Solution

The third proportional to 4,290.47 and 9,218.81 is: 19,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.47 : 9,218.81 = 9,218.81 : x
  2. Step 2: Convert to fraction form
    4,290.47/9,218.81 = 9,218.81/x
  3. Step 3: Cross multiply
    4,290.47x = 9,218.81 × 9,218.81
  4. Step 4: Simplify right side
    4,290.47x = 84,986,503.91
  5. Step 5: Solve for x
    x = 84,986,503.91/4,290.47
  6. Step 6: Final answer
    x = 19,808.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.