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Finding the Third Proportional to 137,396 and 289,551

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Solution

The third proportional to 137,396 and 289,551 is: 610,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,396 : 289,551 = 289,551 : x
  2. Step 2: Convert to fraction form
    137,396/289,551 = 289,551/x
  3. Step 3: Cross multiply
    137,396x = 289,551 × 289,551
  4. Step 4: Simplify right side
    137,396x = 83,839,781,601
  5. Step 5: Solve for x
    x = 83,839,781,601/137,396
  6. Step 6: Final answer
    x = 610,205.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.