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Finding the Third Proportional to 903.94 and 1,387.97

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Solution

The third proportional to 903.94 and 1,387.97 is: 2,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.94 : 1,387.97 = 1,387.97 : x
  2. Step 2: Convert to fraction form
    903.94/1,387.97 = 1,387.97/x
  3. Step 3: Cross multiply
    903.94x = 1,387.97 × 1,387.97
  4. Step 4: Simplify right side
    903.94x = 1,926,457.25
  5. Step 5: Solve for x
    x = 1,926,457.25/903.94
  6. Step 6: Final answer
    x = 2,131.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.