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Finding the Third Proportional to 723.09 and 904.92

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Solution

The third proportional to 723.09 and 904.92 is: 1,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.09 : 904.92 = 904.92 : x
  2. Step 2: Convert to fraction form
    723.09/904.92 = 904.92/x
  3. Step 3: Cross multiply
    723.09x = 904.92 × 904.92
  4. Step 4: Simplify right side
    723.09x = 818,883.60
  5. Step 5: Solve for x
    x = 818,883.60/723.09
  6. Step 6: Final answer
    x = 1,132.47

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.