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Finding the Third Proportional to 399,728.25 and 615,030.75

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Solution

The third proportional to 399,728.25 and 615,030.75 is: 946,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,728.25 : 615,030.75 = 615,030.75 : x
  2. Step 2: Convert to fraction form
    399,728.25/615,030.75 = 615,030.75/x
  3. Step 3: Cross multiply
    399,728.25x = 615,030.75 × 615,030.75
  4. Step 4: Simplify right side
    399,728.25x = 378,262,823,445.56
  5. Step 5: Solve for x
    x = 378,262,823,445.56/399,728.25
  6. Step 6: Final answer
    x = 946,299.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.