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Finding the Third Proportional to 556.03 and 1,210.78

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Solution

The third proportional to 556.03 and 1,210.78 is: 2,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.03 : 1,210.78 = 1,210.78 : x
  2. Step 2: Convert to fraction form
    556.03/1,210.78 = 1,210.78/x
  3. Step 3: Cross multiply
    556.03x = 1,210.78 × 1,210.78
  4. Step 4: Simplify right side
    556.03x = 1,465,991.24
  5. Step 5: Solve for x
    x = 1,465,991.24/556.03
  6. Step 6: Final answer
    x = 2,636.53

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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.