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Finding the Third Proportional to 438.19 and 953.81

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Solution

The third proportional to 438.19 and 953.81 is: 2,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.19 : 953.81 = 953.81 : x
  2. Step 2: Convert to fraction form
    438.19/953.81 = 953.81/x
  3. Step 3: Cross multiply
    438.19x = 953.81 × 953.81
  4. Step 4: Simplify right side
    438.19x = 909,758.29
  5. Step 5: Solve for x
    x = 909,758.29/438.19
  6. Step 6: Final answer
    x = 2,076.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.