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Finding the Third Proportional to 448.51 and 687.71

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Solution

The third proportional to 448.51 and 687.71 is: 1,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.51 : 687.71 = 687.71 : x
  2. Step 2: Convert to fraction form
    448.51/687.71 = 687.71/x
  3. Step 3: Cross multiply
    448.51x = 687.71 × 687.71
  4. Step 4: Simplify right side
    448.51x = 472,943.65
  5. Step 5: Solve for x
    x = 472,943.65/448.51
  6. Step 6: Final answer
    x = 1,054.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.