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Finding the Third Proportional to 665.72 and 999.98

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Solution

The third proportional to 665.72 and 999.98 is: 1,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.72 : 999.98 = 999.98 : x
  2. Step 2: Convert to fraction form
    665.72/999.98 = 999.98/x
  3. Step 3: Cross multiply
    665.72x = 999.98 × 999.98
  4. Step 4: Simplify right side
    665.72x = 999,968.75
  5. Step 5: Solve for x
    x = 999,968.75/665.72
  6. Step 6: Final answer
    x = 1,502.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.