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Finding the Third Proportional to 301,447.50 and 409,375.50

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Solution

The third proportional to 301,447.50 and 409,375.50 is: 555,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,447.50 : 409,375.50 = 409,375.50 : x
  2. Step 2: Convert to fraction form
    301,447.50/409,375.50 = 409,375.50/x
  3. Step 3: Cross multiply
    301,447.50x = 409,375.50 × 409,375.50
  4. Step 4: Simplify right side
    301,447.50x = 167,588,300,000.25
  5. Step 5: Solve for x
    x = 167,588,300,000.25/301,447.50
  6. Step 6: Final answer
    x = 555,945.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.