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Finding the Third Proportional to 314,493.75 and 418,999.50

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Solution

The third proportional to 314,493.75 and 418,999.50 is: 558,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,493.75 : 418,999.50 = 418,999.50 : x
  2. Step 2: Convert to fraction form
    314,493.75/418,999.50 = 418,999.50/x
  3. Step 3: Cross multiply
    314,493.75x = 418,999.50 × 418,999.50
  4. Step 4: Simplify right side
    314,493.75x = 175,560,581,000.25
  5. Step 5: Solve for x
    x = 175,560,581,000.25/314,493.75
  6. Step 6: Final answer
    x = 558,232.34

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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.