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Finding the Third Proportional to 556.78 and 1,202.78

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Solution

The third proportional to 556.78 and 1,202.78 is: 2,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.78 : 1,202.78 = 1,202.78 : x
  2. Step 2: Convert to fraction form
    556.78/1,202.78 = 1,202.78/x
  3. Step 3: Cross multiply
    556.78x = 1,202.78 × 1,202.78
  4. Step 4: Simplify right side
    556.78x = 1,446,682.74
  5. Step 5: Solve for x
    x = 1,446,682.74/556.78
  6. Step 6: Final answer
    x = 2,598.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.