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Finding the Third Proportional to 320,744.75 and 448,421

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Solution

The third proportional to 320,744.75 and 448,421 is: 626,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,744.75 : 448,421 = 448,421 : x
  2. Step 2: Convert to fraction form
    320,744.75/448,421 = 448,421/x
  3. Step 3: Cross multiply
    320,744.75x = 448,421 × 448,421
  4. Step 4: Simplify right side
    320,744.75x = 201,081,393,241
  5. Step 5: Solve for x
    x = 201,081,393,241/320,744.75
  6. Step 6: Final answer
    x = 626,920.29

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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.