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Finding the Third Proportional to 211,929 and 460,308

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Solution

The third proportional to 211,929 and 460,308 is: 999,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,929 : 460,308 = 460,308 : x
  2. Step 2: Convert to fraction form
    211,929/460,308 = 460,308/x
  3. Step 3: Cross multiply
    211,929x = 460,308 × 460,308
  4. Step 4: Simplify right side
    211,929x = 211,883,454,864
  5. Step 5: Solve for x
    x = 211,883,454,864/211,929
  6. Step 6: Final answer
    x = 999,785.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.