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Finding the Third Proportional to 419.26 and 907.57

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Solution

The third proportional to 419.26 and 907.57 is: 1,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.26 : 907.57 = 907.57 : x
  2. Step 2: Convert to fraction form
    419.26/907.57 = 907.57/x
  3. Step 3: Cross multiply
    419.26x = 907.57 × 907.57
  4. Step 4: Simplify right side
    419.26x = 823,686.53
  5. Step 5: Solve for x
    x = 823,686.53/419.26
  6. Step 6: Final answer
    x = 1,964.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.