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Finding the Third Proportional to 438,170.25 and 693,239.25

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Solution

The third proportional to 438,170.25 and 693,239.25 is: 1,096,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,170.25 : 693,239.25 = 693,239.25 : x
  2. Step 2: Convert to fraction form
    438,170.25/693,239.25 = 693,239.25/x
  3. Step 3: Cross multiply
    438,170.25x = 693,239.25 × 693,239.25
  4. Step 4: Simplify right side
    438,170.25x = 480,580,657,740.56
  5. Step 5: Solve for x
    x = 480,580,657,740.56/438,170.25
  6. Step 6: Final answer
    x = 1,096,789.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.