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Finding the Third Proportional to 4,315.78 and 6,342.05

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Solution

The third proportional to 4,315.78 and 6,342.05 is: 9,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.78 : 6,342.05 = 6,342.05 : x
  2. Step 2: Convert to fraction form
    4,315.78/6,342.05 = 6,342.05/x
  3. Step 3: Cross multiply
    4,315.78x = 6,342.05 × 6,342.05
  4. Step 4: Simplify right side
    4,315.78x = 40,221,558.56
  5. Step 5: Solve for x
    x = 40,221,558.56/4,315.78
  6. Step 6: Final answer
    x = 9,319.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.