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Finding the Third Proportional to 211,815 and 324,486

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Solution

The third proportional to 211,815 and 324,486 is: 497,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,815 : 324,486 = 324,486 : x
  2. Step 2: Convert to fraction form
    211,815/324,486 = 324,486/x
  3. Step 3: Cross multiply
    211,815x = 324,486 × 324,486
  4. Step 4: Simplify right side
    211,815x = 105,291,164,196
  5. Step 5: Solve for x
    x = 105,291,164,196/211,815
  6. Step 6: Final answer
    x = 497,090.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.