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Finding the Third Proportional to 7,220.71 and 9,658.30

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Solution

The third proportional to 7,220.71 and 9,658.30 is: 12,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.71 : 9,658.30 = 9,658.30 : x
  2. Step 2: Convert to fraction form
    7,220.71/9,658.30 = 9,658.30/x
  3. Step 3: Cross multiply
    7,220.71x = 9,658.30 × 9,658.30
  4. Step 4: Simplify right side
    7,220.71x = 93,282,773.98
  5. Step 5: Solve for x
    x = 93,282,773.98/7,220.71
  6. Step 6: Final answer
    x = 12,918.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.