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Finding the Third Proportional to 641.44 and 907.78

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Solution

The third proportional to 641.44 and 907.78 is: 1,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.44 : 907.78 = 907.78 : x
  2. Step 2: Convert to fraction form
    641.44/907.78 = 907.78/x
  3. Step 3: Cross multiply
    641.44x = 907.78 × 907.78
  4. Step 4: Simplify right side
    641.44x = 824,066.80
  5. Step 5: Solve for x
    x = 824,066.80/641.44
  6. Step 6: Final answer
    x = 1,284.72

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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.