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Finding the Third Proportional to 218,319 and 328,287

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Solution

The third proportional to 218,319 and 328,287 is: 493,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,319 : 328,287 = 328,287 : x
  2. Step 2: Convert to fraction form
    218,319/328,287 = 328,287/x
  3. Step 3: Cross multiply
    218,319x = 328,287 × 328,287
  4. Step 4: Simplify right side
    218,319x = 107,772,354,369
  5. Step 5: Solve for x
    x = 107,772,354,369/218,319
  6. Step 6: Final answer
    x = 493,646.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.