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Finding the Third Proportional to 134,193 and 289,403

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Solution

The third proportional to 134,193 and 289,403 is: 624,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,193 : 289,403 = 289,403 : x
  2. Step 2: Convert to fraction form
    134,193/289,403 = 289,403/x
  3. Step 3: Cross multiply
    134,193x = 289,403 × 289,403
  4. Step 4: Simplify right side
    134,193x = 83,754,096,409
  5. Step 5: Solve for x
    x = 83,754,096,409/134,193
  6. Step 6: Final answer
    x = 624,131.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.