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Finding the Third Proportional to 457,984 and 992,200

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Solution

The third proportional to 457,984 and 992,200 is: 2,149,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,984 : 992,200 = 992,200 : x
  2. Step 2: Convert to fraction form
    457,984/992,200 = 992,200/x
  3. Step 3: Cross multiply
    457,984x = 992,200 × 992,200
  4. Step 4: Simplify right side
    457,984x = 984,460,840,000
  5. Step 5: Solve for x
    x = 984,460,840,000/457,984
  6. Step 6: Final answer
    x = 2,149,552.91

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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.