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Finding the Third Proportional to 643.88 and 1,543.69

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Solution

The third proportional to 643.88 and 1,543.69 is: 3,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.88 : 1,543.69 = 1,543.69 : x
  2. Step 2: Convert to fraction form
    643.88/1,543.69 = 1,543.69/x
  3. Step 3: Cross multiply
    643.88x = 1,543.69 × 1,543.69
  4. Step 4: Simplify right side
    643.88x = 2,382,971.10
  5. Step 5: Solve for x
    x = 2,382,971.10/643.88
  6. Step 6: Final answer
    x = 3,700.98

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.