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Finding the Third Proportional to 5,216.91 and 7,172.30

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Solution

The third proportional to 5,216.91 and 7,172.30 is: 9,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.91 : 7,172.30 = 7,172.30 : x
  2. Step 2: Convert to fraction form
    5,216.91/7,172.30 = 7,172.30/x
  3. Step 3: Cross multiply
    5,216.91x = 7,172.30 × 7,172.30
  4. Step 4: Simplify right side
    5,216.91x = 51,441,842.46
  5. Step 5: Solve for x
    x = 51,441,842.46/5,216.91
  6. Step 6: Final answer
    x = 9,860.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.