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Finding the Third Proportional to 448.63 and 699.63

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Solution

The third proportional to 448.63 and 699.63 is: 1,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.63 : 699.63 = 699.63 : x
  2. Step 2: Convert to fraction form
    448.63/699.63 = 699.63/x
  3. Step 3: Cross multiply
    448.63x = 699.63 × 699.63
  4. Step 4: Simplify right side
    448.63x = 489,475.14
  5. Step 5: Solve for x
    x = 489,475.14/448.63
  6. Step 6: Final answer
    x = 1,091.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.