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Finding the Third Proportional to 557.58 and 1,214.48

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Solution

The third proportional to 557.58 and 1,214.48 is: 2,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 1,214.48 = 1,214.48 : x
  2. Step 2: Convert to fraction form
    557.58/1,214.48 = 1,214.48/x
  3. Step 3: Cross multiply
    557.58x = 1,214.48 × 1,214.48
  4. Step 4: Simplify right side
    557.58x = 1,474,972.30
  5. Step 5: Solve for x
    x = 1,474,972.30/557.58
  6. Step 6: Final answer
    x = 2,645.32

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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.