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Finding the Third Proportional to 271,464 and 356,985

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Solution

The third proportional to 271,464 and 356,985 is: 469,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,464 : 356,985 = 356,985 : x
  2. Step 2: Convert to fraction form
    271,464/356,985 = 356,985/x
  3. Step 3: Cross multiply
    271,464x = 356,985 × 356,985
  4. Step 4: Simplify right side
    271,464x = 127,438,290,225
  5. Step 5: Solve for x
    x = 127,438,290,225/271,464
  6. Step 6: Final answer
    x = 469,448.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.