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Finding the Third Proportional to 389,713.50 and 620,586

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Solution

The third proportional to 389,713.50 and 620,586 is: 988,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,713.50 : 620,586 = 620,586 : x
  2. Step 2: Convert to fraction form
    389,713.50/620,586 = 620,586/x
  3. Step 3: Cross multiply
    389,713.50x = 620,586 × 620,586
  4. Step 4: Simplify right side
    389,713.50x = 385,126,983,396
  5. Step 5: Solve for x
    x = 385,126,983,396/389,713.50
  6. Step 6: Final answer
    x = 988,231.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.