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Finding the Third Proportional to 266,604.75 and 408,817.13

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Solution

The third proportional to 266,604.75 and 408,817.13 is: 626,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,604.75 : 408,817.13 = 408,817.13 : x
  2. Step 2: Convert to fraction form
    266,604.75/408,817.13 = 408,817.13/x
  3. Step 3: Cross multiply
    266,604.75x = 408,817.13 × 408,817.13
  4. Step 4: Simplify right side
    266,604.75x = 167,131,441,693.27
  5. Step 5: Solve for x
    x = 167,131,441,693.27/266,604.75
  6. Step 6: Final answer
    x = 626,888.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.