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Finding the Third Proportional to 1,931.44 and 4,218.94

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Solution

The third proportional to 1,931.44 and 4,218.94 is: 9,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.44 : 4,218.94 = 4,218.94 : x
  2. Step 2: Convert to fraction form
    1,931.44/4,218.94 = 4,218.94/x
  3. Step 3: Cross multiply
    1,931.44x = 4,218.94 × 4,218.94
  4. Step 4: Simplify right side
    1,931.44x = 17,799,433.63
  5. Step 5: Solve for x
    x = 17,799,433.63/1,931.44
  6. Step 6: Final answer
    x = 9,215.64

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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.