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Finding the Third Proportional to 1,415.81 and 2,154.94

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Solution

The third proportional to 1,415.81 and 2,154.94 is: 3,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.81 : 2,154.94 = 2,154.94 : x
  2. Step 2: Convert to fraction form
    1,415.81/2,154.94 = 2,154.94/x
  3. Step 3: Cross multiply
    1,415.81x = 2,154.94 × 2,154.94
  4. Step 4: Simplify right side
    1,415.81x = 4,643,755.63
  5. Step 5: Solve for x
    x = 4,643,755.63/1,415.81
  6. Step 6: Final answer
    x = 3,279.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.