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Finding the Third Proportional to 448.97 and 693.47

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Solution

The third proportional to 448.97 and 693.47 is: 1,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.97 : 693.47 = 693.47 : x
  2. Step 2: Convert to fraction form
    448.97/693.47 = 693.47/x
  3. Step 3: Cross multiply
    448.97x = 693.47 × 693.47
  4. Step 4: Simplify right side
    448.97x = 480,898.91
  5. Step 5: Solve for x
    x = 480,898.91/448.97
  6. Step 6: Final answer
    x = 1,071.12

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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.