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Finding the Third Proportional to 211,478 and 457,804

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Solution

The third proportional to 211,478 and 457,804 is: 991,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478 : 457,804 = 457,804 : x
  2. Step 2: Convert to fraction form
    211,478/457,804 = 457,804/x
  3. Step 3: Cross multiply
    211,478x = 457,804 × 457,804
  4. Step 4: Simplify right side
    211,478x = 209,584,502,416
  5. Step 5: Solve for x
    x = 209,584,502,416/211,478
  6. Step 6: Final answer
    x = 991,046.36

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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.