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Finding the Third Proportional to 407,321.50 and 569,731

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Solution

The third proportional to 407,321.50 and 569,731 is: 796,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,321.50 : 569,731 = 569,731 : x
  2. Step 2: Convert to fraction form
    407,321.50/569,731 = 569,731/x
  3. Step 3: Cross multiply
    407,321.50x = 569,731 × 569,731
  4. Step 4: Simplify right side
    407,321.50x = 324,593,412,361
  5. Step 5: Solve for x
    x = 324,593,412,361/407,321.50
  6. Step 6: Final answer
    x = 796,897.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.