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Finding the Third Proportional to 134,870 and 290,474

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Solution

The third proportional to 134,870 and 290,474 is: 625,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,870 : 290,474 = 290,474 : x
  2. Step 2: Convert to fraction form
    134,870/290,474 = 290,474/x
  3. Step 3: Cross multiply
    134,870x = 290,474 × 290,474
  4. Step 4: Simplify right side
    134,870x = 84,375,144,676
  5. Step 5: Solve for x
    x = 84,375,144,676/134,870
  6. Step 6: Final answer
    x = 625,603.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.