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Finding the Third Proportional to 457,830 and 991,932

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Solution

The third proportional to 457,830 and 991,932 is: 2,149,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,830 : 991,932 = 991,932 : x
  2. Step 2: Convert to fraction form
    457,830/991,932 = 991,932/x
  3. Step 3: Cross multiply
    457,830x = 991,932 × 991,932
  4. Step 4: Simplify right side
    457,830x = 983,929,092,624
  5. Step 5: Solve for x
    x = 983,929,092,624/457,830
  6. Step 6: Final answer
    x = 2,149,114.50

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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.