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Finding the Third Proportional to 399,066.75 and 542,801.25

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Solution

The third proportional to 399,066.75 and 542,801.25 is: 738,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,066.75 : 542,801.25 = 542,801.25 : x
  2. Step 2: Convert to fraction form
    399,066.75/542,801.25 = 542,801.25/x
  3. Step 3: Cross multiply
    399,066.75x = 542,801.25 × 542,801.25
  4. Step 4: Simplify right side
    399,066.75x = 294,633,197,001.56
  5. Step 5: Solve for x
    x = 294,633,197,001.56/399,066.75
  6. Step 6: Final answer
    x = 738,305.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.