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Finding the Third Proportional to 723.09 and 837.84

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Solution

The third proportional to 723.09 and 837.84 is: 970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.09 : 837.84 = 837.84 : x
  2. Step 2: Convert to fraction form
    723.09/837.84 = 837.84/x
  3. Step 3: Cross multiply
    723.09x = 837.84 × 837.84
  4. Step 4: Simplify right side
    723.09x = 701,982.15
  5. Step 5: Solve for x
    x = 701,982.15/723.09
  6. Step 6: Final answer
    x = 970.80

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.