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Finding the Third Proportional to 135,252 and 289,264.50

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Solution

The third proportional to 135,252 and 289,264.50 is: 618,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,252 : 289,264.50 = 289,264.50 : x
  2. Step 2: Convert to fraction form
    135,252/289,264.50 = 289,264.50/x
  3. Step 3: Cross multiply
    135,252x = 289,264.50 × 289,264.50
  4. Step 4: Simplify right side
    135,252x = 83,673,950,960.25
  5. Step 5: Solve for x
    x = 83,673,950,960.25/135,252
  6. Step 6: Final answer
    x = 618,652.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.