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Finding the Third Proportional to 298.29 and 647.84

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Solution

The third proportional to 298.29 and 647.84 is: 1,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.29 : 647.84 = 647.84 : x
  2. Step 2: Convert to fraction form
    298.29/647.84 = 647.84/x
  3. Step 3: Cross multiply
    298.29x = 647.84 × 647.84
  4. Step 4: Simplify right side
    298.29x = 419,698.99
  5. Step 5: Solve for x
    x = 419,698.99/298.29
  6. Step 6: Final answer
    x = 1,407.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.