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Finding the Third Proportional to 457,011 and 990,293

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Solution

The third proportional to 457,011 and 990,293 is: 2,145,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,011 : 990,293 = 990,293 : x
  2. Step 2: Convert to fraction form
    457,011/990,293 = 990,293/x
  3. Step 3: Cross multiply
    457,011x = 990,293 × 990,293
  4. Step 4: Simplify right side
    457,011x = 980,680,225,849
  5. Step 5: Solve for x
    x = 980,680,225,849/457,011
  6. Step 6: Final answer
    x = 2,145,856.94

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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.