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Finding the Third Proportional to 438,408.07 and 672,989.45

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Solution

The third proportional to 438,408.07 and 672,989.45 is: 1,033,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,408.07 : 672,989.45 = 672,989.45 : x
  2. Step 2: Convert to fraction form
    438,408.07/672,989.45 = 672,989.45/x
  3. Step 3: Cross multiply
    438,408.07x = 672,989.45 × 672,989.45
  4. Step 4: Simplify right side
    438,408.07x = 452,914,798,759.76
  5. Step 5: Solve for x
    x = 452,914,798,759.76/438,408.07
  6. Step 6: Final answer
    x = 1,033,089.56

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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.