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Finding the Third Proportional to 218,046 and 309,213

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Solution

The third proportional to 218,046 and 309,213 is: 438,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,046 : 309,213 = 309,213 : x
  2. Step 2: Convert to fraction form
    218,046/309,213 = 309,213/x
  3. Step 3: Cross multiply
    218,046x = 309,213 × 309,213
  4. Step 4: Simplify right side
    218,046x = 95,612,679,369
  5. Step 5: Solve for x
    x = 95,612,679,369/218,046
  6. Step 6: Final answer
    x = 438,497.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.