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Finding the Third Proportional to 211,890 and 457,389

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Solution

The third proportional to 211,890 and 457,389 is: 987,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,890 : 457,389 = 457,389 : x
  2. Step 2: Convert to fraction form
    211,890/457,389 = 457,389/x
  3. Step 3: Cross multiply
    211,890x = 457,389 × 457,389
  4. Step 4: Simplify right side
    211,890x = 209,204,697,321
  5. Step 5: Solve for x
    x = 209,204,697,321/211,890
  6. Step 6: Final answer
    x = 987,326.90

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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.