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Finding the Third Proportional to 271,464 and 578,980.50

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Solution

The third proportional to 271,464 and 578,980.50 is: 1,234,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,464 : 578,980.50 = 578,980.50 : x
  2. Step 2: Convert to fraction form
    271,464/578,980.50 = 578,980.50/x
  3. Step 3: Cross multiply
    271,464x = 578,980.50 × 578,980.50
  4. Step 4: Simplify right side
    271,464x = 335,218,419,380.25
  5. Step 5: Solve for x
    x = 335,218,419,380.25/271,464
  6. Step 6: Final answer
    x = 1,234,854.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.