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Finding the Third Proportional to 448.88 and 693.28

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Solution

The third proportional to 448.88 and 693.28 is: 1,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.88 : 693.28 = 693.28 : x
  2. Step 2: Convert to fraction form
    448.88/693.28 = 693.28/x
  3. Step 3: Cross multiply
    448.88x = 693.28 × 693.28
  4. Step 4: Simplify right side
    448.88x = 480,638.89
  5. Step 5: Solve for x
    x = 480,638.89/448.88
  6. Step 6: Final answer
    x = 1,070.76

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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.