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Finding the Third Proportional to 211,458 and 464,781

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Solution

The third proportional to 211,458 and 464,781 is: 1,021,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,458 : 464,781 = 464,781 : x
  2. Step 2: Convert to fraction form
    211,458/464,781 = 464,781/x
  3. Step 3: Cross multiply
    211,458x = 464,781 × 464,781
  4. Step 4: Simplify right side
    211,458x = 216,021,377,961
  5. Step 5: Solve for x
    x = 216,021,377,961/211,458
  6. Step 6: Final answer
    x = 1,021,580.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.