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Finding the Third Proportional to 248,473 and 331,045.50

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Solution

The third proportional to 248,473 and 331,045.50 is: 441,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,473 : 331,045.50 = 331,045.50 : x
  2. Step 2: Convert to fraction form
    248,473/331,045.50 = 331,045.50/x
  3. Step 3: Cross multiply
    248,473x = 331,045.50 × 331,045.50
  4. Step 4: Simplify right side
    248,473x = 109,591,123,070.25
  5. Step 5: Solve for x
    x = 109,591,123,070.25/248,473
  6. Step 6: Final answer
    x = 441,058.48

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.