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Finding the Third Proportional to 369.61 and 801.70

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Solution

The third proportional to 369.61 and 801.70 is: 1,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.61 : 801.70 = 801.70 : x
  2. Step 2: Convert to fraction form
    369.61/801.70 = 801.70/x
  3. Step 3: Cross multiply
    369.61x = 801.70 × 801.70
  4. Step 4: Simplify right side
    369.61x = 642,727.90
  5. Step 5: Solve for x
    x = 642,727.90/369.61
  6. Step 6: Final answer
    x = 1,738.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.