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Finding the Third Proportional to 448.56 and 962.01

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Solution

The third proportional to 448.56 and 962.01 is: 2,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.56 : 962.01 = 962.01 : x
  2. Step 2: Convert to fraction form
    448.56/962.01 = 962.01/x
  3. Step 3: Cross multiply
    448.56x = 962.01 × 962.01
  4. Step 4: Simplify right side
    448.56x = 925,457.15
  5. Step 5: Solve for x
    x = 925,457.15/448.56
  6. Step 6: Final answer
    x = 2,063.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.