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Finding the Third Proportional to 211,680 and 457,863

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Solution

The third proportional to 211,680 and 457,863 is: 990,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,680 : 457,863 = 457,863 : x
  2. Step 2: Convert to fraction form
    211,680/457,863 = 457,863/x
  3. Step 3: Cross multiply
    211,680x = 457,863 × 457,863
  4. Step 4: Simplify right side
    211,680x = 209,638,526,769
  5. Step 5: Solve for x
    x = 209,638,526,769/211,680
  6. Step 6: Final answer
    x = 990,355.85

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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.