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Finding the Third Proportional to 85,579 and 190,835

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Solution

The third proportional to 85,579 and 190,835 is: 425,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,579 : 190,835 = 190,835 : x
  2. Step 2: Convert to fraction form
    85,579/190,835 = 190,835/x
  3. Step 3: Cross multiply
    85,579x = 190,835 × 190,835
  4. Step 4: Simplify right side
    85,579x = 36,417,997,225
  5. Step 5: Solve for x
    x = 36,417,997,225/85,579
  6. Step 6: Final answer
    x = 425,548.29

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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.