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Finding the Third Proportional to 211,490.50 and 457,829

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Solution

The third proportional to 211,490.50 and 457,829 is: 991,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,490.50 : 457,829 = 457,829 : x
  2. Step 2: Convert to fraction form
    211,490.50/457,829 = 457,829/x
  3. Step 3: Cross multiply
    211,490.50x = 457,829 × 457,829
  4. Step 4: Simplify right side
    211,490.50x = 209,607,393,241
  5. Step 5: Solve for x
    x = 209,607,393,241/211,490.50
  6. Step 6: Final answer
    x = 991,096.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.