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Finding the Third Proportional to 314,494 and 418,998

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Solution

The third proportional to 314,494 and 418,998 is: 558,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,494 : 418,998 = 418,998 : x
  2. Step 2: Convert to fraction form
    314,494/418,998 = 418,998/x
  3. Step 3: Cross multiply
    314,494x = 418,998 × 418,998
  4. Step 4: Simplify right side
    314,494x = 175,559,324,004
  5. Step 5: Solve for x
    x = 175,559,324,004/314,494
  6. Step 6: Final answer
    x = 558,227.90

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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.