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Finding the Third Proportional to 398,353.50 and 609,649.88

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Solution

The third proportional to 398,353.50 and 609,649.88 is: 933,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,353.50 : 609,649.88 = 609,649.88 : x
  2. Step 2: Convert to fraction form
    398,353.50/609,649.88 = 609,649.88/x
  3. Step 3: Cross multiply
    398,353.50x = 609,649.88 × 609,649.88
  4. Step 4: Simplify right side
    398,353.50x = 371,672,970,087.52
  5. Step 5: Solve for x
    x = 371,672,970,087.52/398,353.50
  6. Step 6: Final answer
    x = 933,022.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.