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Finding the Third Proportional to 414,990 and 905,364

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Solution

The third proportional to 414,990 and 905,364 is: 1,975,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,990 : 905,364 = 905,364 : x
  2. Step 2: Convert to fraction form
    414,990/905,364 = 905,364/x
  3. Step 3: Cross multiply
    414,990x = 905,364 × 905,364
  4. Step 4: Simplify right side
    414,990x = 819,683,972,496
  5. Step 5: Solve for x
    x = 819,683,972,496/414,990
  6. Step 6: Final answer
    x = 1,975,189.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.