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Finding the Third Proportional to 1,647.84 and 2,929.29

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Solution

The third proportional to 1,647.84 and 2,929.29 is: 5,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.84 : 2,929.29 = 2,929.29 : x
  2. Step 2: Convert to fraction form
    1,647.84/2,929.29 = 2,929.29/x
  3. Step 3: Cross multiply
    1,647.84x = 2,929.29 × 2,929.29
  4. Step 4: Simplify right side
    1,647.84x = 8,580,734.41
  5. Step 5: Solve for x
    x = 8,580,734.41/1,647.84
  6. Step 6: Final answer
    x = 5,207.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.