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Finding the Third Proportional to 373,880.81 and 815,429.53

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Solution

The third proportional to 373,880.81 and 815,429.53 is: 1,778,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,880.81 : 815,429.53 = 815,429.53 : x
  2. Step 2: Convert to fraction form
    373,880.81/815,429.53 = 815,429.53/x
  3. Step 3: Cross multiply
    373,880.81x = 815,429.53 × 815,429.53
  4. Step 4: Simplify right side
    373,880.81x = 664,925,320,434.60
  5. Step 5: Solve for x
    x = 664,925,320,434.60/373,880.81
  6. Step 6: Final answer
    x = 1,778,441.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.