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Finding the Third Proportional to 457,985 and 992,242

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Solution

The third proportional to 457,985 and 992,242 is: 2,149,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,985 : 992,242 = 992,242 : x
  2. Step 2: Convert to fraction form
    457,985/992,242 = 992,242/x
  3. Step 3: Cross multiply
    457,985x = 992,242 × 992,242
  4. Step 4: Simplify right side
    457,985x = 984,544,186,564
  5. Step 5: Solve for x
    x = 984,544,186,564/457,985
  6. Step 6: Final answer
    x = 2,149,730.20

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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.