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Finding the Third Proportional to 5,145.19 and 7,150.78

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Solution

The third proportional to 5,145.19 and 7,150.78 is: 9,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.19 : 7,150.78 = 7,150.78 : x
  2. Step 2: Convert to fraction form
    5,145.19/7,150.78 = 7,150.78/x
  3. Step 3: Cross multiply
    5,145.19x = 7,150.78 × 7,150.78
  4. Step 4: Simplify right side
    5,145.19x = 51,133,672.49
  5. Step 5: Solve for x
    x = 51,133,672.49/5,145.19
  6. Step 6: Final answer
    x = 9,938.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.