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Finding the Third Proportional to 1,864.69 and 3,107.53

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Solution

The third proportional to 1,864.69 and 3,107.53 is: 5,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.69 : 3,107.53 = 3,107.53 : x
  2. Step 2: Convert to fraction form
    1,864.69/3,107.53 = 3,107.53/x
  3. Step 3: Cross multiply
    1,864.69x = 3,107.53 × 3,107.53
  4. Step 4: Simplify right side
    1,864.69x = 9,656,750.47
  5. Step 5: Solve for x
    x = 9,656,750.47/1,864.69
  6. Step 6: Final answer
    x = 5,178.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.