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Finding the Third Proportional to 398,783.25 and 612,957.38

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Solution

The third proportional to 398,783.25 and 612,957.38 is: 942,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,783.25 : 612,957.38 = 612,957.38 : x
  2. Step 2: Convert to fraction form
    398,783.25/612,957.38 = 612,957.38/x
  3. Step 3: Cross multiply
    398,783.25x = 612,957.38 × 612,957.38
  4. Step 4: Simplify right side
    398,783.25x = 375,716,743,566.89
  5. Step 5: Solve for x
    x = 375,716,743,566.89/398,783.25
  6. Step 6: Final answer
    x = 942,157.79

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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.