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Finding the Third Proportional to 172,974 and 259,461

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Solution

The third proportional to 172,974 and 259,461 is: 389,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,974 : 259,461 = 259,461 : x
  2. Step 2: Convert to fraction form
    172,974/259,461 = 259,461/x
  3. Step 3: Cross multiply
    172,974x = 259,461 × 259,461
  4. Step 4: Simplify right side
    172,974x = 67,320,010,521
  5. Step 5: Solve for x
    x = 67,320,010,521/172,974
  6. Step 6: Final answer
    x = 389,191.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.