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Finding the Third Proportional to 554,338.69 and 612,658.69

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Solution

The third proportional to 554,338.69 and 612,658.69 is: 677,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,338.69 : 612,658.69 = 612,658.69 : x
  2. Step 2: Convert to fraction form
    554,338.69/612,658.69 = 612,658.69/x
  3. Step 3: Cross multiply
    554,338.69x = 612,658.69 × 612,658.69
  4. Step 4: Simplify right side
    554,338.69x = 375,350,667,369.22
  5. Step 5: Solve for x
    x = 375,350,667,369.22/554,338.69
  6. Step 6: Final answer
    x = 677,114.33

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.