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Finding the Third Proportional to 220,398 and 304,539.75

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Solution

The third proportional to 220,398 and 304,539.75 is: 420,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,398 : 304,539.75 = 304,539.75 : x
  2. Step 2: Convert to fraction form
    220,398/304,539.75 = 304,539.75/x
  3. Step 3: Cross multiply
    220,398x = 304,539.75 × 304,539.75
  4. Step 4: Simplify right side
    220,398x = 92,744,459,330.06
  5. Step 5: Solve for x
    x = 92,744,459,330.06/220,398
  6. Step 6: Final answer
    x = 420,804.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.