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Finding the Third Proportional to 728.81 and 840.19

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Solution

The third proportional to 728.81 and 840.19 is: 968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.81 : 840.19 = 840.19 : x
  2. Step 2: Convert to fraction form
    728.81/840.19 = 840.19/x
  3. Step 3: Cross multiply
    728.81x = 840.19 × 840.19
  4. Step 4: Simplify right side
    728.81x = 705,915.04
  5. Step 5: Solve for x
    x = 705,915.04/728.81
  6. Step 6: Final answer
    x = 968.58

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.