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Finding the Third Proportional to 291,375.50 and 450,003

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Solution

The third proportional to 291,375.50 and 450,003 is: 694,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,375.50 : 450,003 = 450,003 : x
  2. Step 2: Convert to fraction form
    291,375.50/450,003 = 450,003/x
  3. Step 3: Cross multiply
    291,375.50x = 450,003 × 450,003
  4. Step 4: Simplify right side
    291,375.50x = 202,502,700,009
  5. Step 5: Solve for x
    x = 202,502,700,009/291,375.50
  6. Step 6: Final answer
    x = 694,988.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.