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Finding the Third Proportional to 283,798.88 and 439,468.31

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Solution

The third proportional to 283,798.88 and 439,468.31 is: 680,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,798.88 : 439,468.31 = 439,468.31 : x
  2. Step 2: Convert to fraction form
    283,798.88/439,468.31 = 439,468.31/x
  3. Step 3: Cross multiply
    283,798.88x = 439,468.31 × 439,468.31
  4. Step 4: Simplify right side
    283,798.88x = 193,132,397,691.60
  5. Step 5: Solve for x
    x = 193,132,397,691.60/283,798.88
  6. Step 6: Final answer
    x = 680,525.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.