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Finding the Third Proportional to 409.50 and 907

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Solution

The third proportional to 409.50 and 907 is: 2,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 907 = 907 : x
  2. Step 2: Convert to fraction form
    409.50/907 = 907/x
  3. Step 3: Cross multiply
    409.50x = 907 × 907
  4. Step 4: Simplify right side
    409.50x = 822,649
  5. Step 5: Solve for x
    x = 822,649/409.50
  6. Step 6: Final answer
    x = 2,008.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.