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Finding the Third Proportional to 211,892.25 and 319,808.81

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Solution

The third proportional to 211,892.25 and 319,808.81 is: 482,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,892.25 : 319,808.81 = 319,808.81 : x
  2. Step 2: Convert to fraction form
    211,892.25/319,808.81 = 319,808.81/x
  3. Step 3: Cross multiply
    211,892.25x = 319,808.81 × 319,808.81
  4. Step 4: Simplify right side
    211,892.25x = 102,277,676,552.66
  5. Step 5: Solve for x
    x = 102,277,676,552.66/211,892.25
  6. Step 6: Final answer
    x = 482,687.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.