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Finding the Third Proportional to 4,510.69 and 6,421.78

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Solution

The third proportional to 4,510.69 and 6,421.78 is: 9,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 6,421.78 = 6,421.78 : x
  2. Step 2: Convert to fraction form
    4,510.69/6,421.78 = 6,421.78/x
  3. Step 3: Cross multiply
    4,510.69x = 6,421.78 × 6,421.78
  4. Step 4: Simplify right side
    4,510.69x = 41,239,274.42
  5. Step 5: Solve for x
    x = 41,239,274.42/4,510.69
  6. Step 6: Final answer
    x = 9,142.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.