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Finding the Third Proportional to 1,215.84 and 1,899.70

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Solution

The third proportional to 1,215.84 and 1,899.70 is: 2,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.84 : 1,899.70 = 1,899.70 : x
  2. Step 2: Convert to fraction form
    1,215.84/1,899.70 = 1,899.70/x
  3. Step 3: Cross multiply
    1,215.84x = 1,899.70 × 1,899.70
  4. Step 4: Simplify right side
    1,215.84x = 3,608,871.96
  5. Step 5: Solve for x
    x = 3,608,871.96/1,215.84
  6. Step 6: Final answer
    x = 2,968.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.