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Finding the Third Proportional to 4,315.78 and 8,658.14

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Solution

The third proportional to 4,315.78 and 8,658.14 is: 17,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.78 : 8,658.14 = 8,658.14 : x
  2. Step 2: Convert to fraction form
    4,315.78/8,658.14 = 8,658.14/x
  3. Step 3: Cross multiply
    4,315.78x = 8,658.14 × 8,658.14
  4. Step 4: Simplify right side
    4,315.78x = 74,963,399.08
  5. Step 5: Solve for x
    x = 74,963,399.08/4,315.78
  6. Step 6: Final answer
    x = 17,369.60

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.