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Finding the Third Proportional to 320,953 and 448,679.50

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Solution

The third proportional to 320,953 and 448,679.50 is: 627,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,953 : 448,679.50 = 448,679.50 : x
  2. Step 2: Convert to fraction form
    320,953/448,679.50 = 448,679.50/x
  3. Step 3: Cross multiply
    320,953x = 448,679.50 × 448,679.50
  4. Step 4: Simplify right side
    320,953x = 201,313,293,720.25
  5. Step 5: Solve for x
    x = 201,313,293,720.25/320,953
  6. Step 6: Final answer
    x = 627,236.06

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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.