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Finding the Third Proportional to 1,556.72 and 2,578.08

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Solution

The third proportional to 1,556.72 and 2,578.08 is: 4,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.72 : 2,578.08 = 2,578.08 : x
  2. Step 2: Convert to fraction form
    1,556.72/2,578.08 = 2,578.08/x
  3. Step 3: Cross multiply
    1,556.72x = 2,578.08 × 2,578.08
  4. Step 4: Simplify right side
    1,556.72x = 6,646,486.82
  5. Step 5: Solve for x
    x = 6,646,486.82/1,556.72
  6. Step 6: Final answer
    x = 4,269.55

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.