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Finding the Third Proportional to 314,489.25 and 418,992.75

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Solution

The third proportional to 314,489.25 and 418,992.75 is: 558,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,489.25 : 418,992.75 = 418,992.75 : x
  2. Step 2: Convert to fraction form
    314,489.25/418,992.75 = 418,992.75/x
  3. Step 3: Cross multiply
    314,489.25x = 418,992.75 × 418,992.75
  4. Step 4: Simplify right side
    314,489.25x = 175,554,924,552.56
  5. Step 5: Solve for x
    x = 175,554,924,552.56/314,489.25
  6. Step 6: Final answer
    x = 558,222.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.