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Finding the Third Proportional to 134,973 and 290,682

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Solution

The third proportional to 134,973 and 290,682 is: 626,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,973 : 290,682 = 290,682 : x
  2. Step 2: Convert to fraction form
    134,973/290,682 = 290,682/x
  3. Step 3: Cross multiply
    134,973x = 290,682 × 290,682
  4. Step 4: Simplify right side
    134,973x = 84,496,025,124
  5. Step 5: Solve for x
    x = 84,496,025,124/134,973
  6. Step 6: Final answer
    x = 626,021.69

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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.