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Finding the Third Proportional to 5,315.63 and 7,912.69

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Solution

The third proportional to 5,315.63 and 7,912.69 is: 11,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.63 : 7,912.69 = 7,912.69 : x
  2. Step 2: Convert to fraction form
    5,315.63/7,912.69 = 7,912.69/x
  3. Step 3: Cross multiply
    5,315.63x = 7,912.69 × 7,912.69
  4. Step 4: Simplify right side
    5,315.63x = 62,610,623.47
  5. Step 5: Solve for x
    x = 62,610,623.47/5,315.63
  6. Step 6: Final answer
    x = 11,778.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.