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Finding the Third Proportional to 131,970 and 290,182

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Solution

The third proportional to 131,970 and 290,182 is: 638,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,970 : 290,182 = 290,182 : x
  2. Step 2: Convert to fraction form
    131,970/290,182 = 290,182/x
  3. Step 3: Cross multiply
    131,970x = 290,182 × 290,182
  4. Step 4: Simplify right side
    131,970x = 84,205,593,124
  5. Step 5: Solve for x
    x = 84,205,593,124/131,970
  6. Step 6: Final answer
    x = 638,066.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.