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Finding the Third Proportional to 437.48 and 945.63

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Solution

The third proportional to 437.48 and 945.63 is: 2,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.48 : 945.63 = 945.63 : x
  2. Step 2: Convert to fraction form
    437.48/945.63 = 945.63/x
  3. Step 3: Cross multiply
    437.48x = 945.63 × 945.63
  4. Step 4: Simplify right side
    437.48x = 894,221.42
  5. Step 5: Solve for x
    x = 894,221.42/437.48
  6. Step 6: Final answer
    x = 2,044.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.