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Finding the Third Proportional to 301,091.50 and 440,328

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Solution

The third proportional to 301,091.50 and 440,328 is: 643,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,091.50 : 440,328 = 440,328 : x
  2. Step 2: Convert to fraction form
    301,091.50/440,328 = 440,328/x
  3. Step 3: Cross multiply
    301,091.50x = 440,328 × 440,328
  4. Step 4: Simplify right side
    301,091.50x = 193,888,747,584
  5. Step 5: Solve for x
    x = 193,888,747,584/301,091.50
  6. Step 6: Final answer
    x = 643,952.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.