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Finding the Third Proportional to 308,575.50 and 409,446

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Solution

The third proportional to 308,575.50 and 409,446 is: 543,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,575.50 : 409,446 = 409,446 : x
  2. Step 2: Convert to fraction form
    308,575.50/409,446 = 409,446/x
  3. Step 3: Cross multiply
    308,575.50x = 409,446 × 409,446
  4. Step 4: Simplify right side
    308,575.50x = 167,646,026,916
  5. Step 5: Solve for x
    x = 167,646,026,916/308,575.50
  6. Step 6: Final answer
    x = 543,290.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.