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Finding the Third Proportional to 85,580 and 190,836

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Solution

The third proportional to 85,580 and 190,836 is: 425,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,580 : 190,836 = 190,836 : x
  2. Step 2: Convert to fraction form
    85,580/190,836 = 190,836/x
  3. Step 3: Cross multiply
    85,580x = 190,836 × 190,836
  4. Step 4: Simplify right side
    85,580x = 36,418,378,896
  5. Step 5: Solve for x
    x = 36,418,378,896/85,580
  6. Step 6: Final answer
    x = 425,547.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.