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Finding the Third Proportional to 137,738 and 289,419

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Solution

The third proportional to 137,738 and 289,419 is: 608,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,738 : 289,419 = 289,419 : x
  2. Step 2: Convert to fraction form
    137,738/289,419 = 289,419/x
  3. Step 3: Cross multiply
    137,738x = 289,419 × 289,419
  4. Step 4: Simplify right side
    137,738x = 83,763,357,561
  5. Step 5: Solve for x
    x = 83,763,357,561/137,738
  6. Step 6: Final answer
    x = 608,135.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.