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Finding the Third Proportional to 320,920.50 and 448,643.91

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Solution

The third proportional to 320,920.50 and 448,643.91 is: 627,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,920.50 : 448,643.91 = 448,643.91 : x
  2. Step 2: Convert to fraction form
    320,920.50/448,643.91 = 448,643.91/x
  3. Step 3: Cross multiply
    320,920.50x = 448,643.91 × 448,643.91
  4. Step 4: Simplify right side
    320,920.50x = 201,281,354,615.26
  5. Step 5: Solve for x
    x = 201,281,354,615.26/320,920.50
  6. Step 6: Final answer
    x = 627,200.05

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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.