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Finding the Third Proportional to 457,063 and 990,394

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Solution

The third proportional to 457,063 and 990,394 is: 2,146,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,063 : 990,394 = 990,394 : x
  2. Step 2: Convert to fraction form
    457,063/990,394 = 990,394/x
  3. Step 3: Cross multiply
    457,063x = 990,394 × 990,394
  4. Step 4: Simplify right side
    457,063x = 980,880,275,236
  5. Step 5: Solve for x
    x = 980,880,275,236/457,063
  6. Step 6: Final answer
    x = 2,146,050.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.