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Finding the Third Proportional to 134,058 and 199,264.50

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Solution

The third proportional to 134,058 and 199,264.50 is: 296,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,058 : 199,264.50 = 199,264.50 : x
  2. Step 2: Convert to fraction form
    134,058/199,264.50 = 199,264.50/x
  3. Step 3: Cross multiply
    134,058x = 199,264.50 × 199,264.50
  4. Step 4: Simplify right side
    134,058x = 39,706,340,960.25
  5. Step 5: Solve for x
    x = 39,706,340,960.25/134,058
  6. Step 6: Final answer
    x = 296,187.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.