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Finding the Third Proportional to 232,032 and 369,211.50

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Solution

The third proportional to 232,032 and 369,211.50 is: 587,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,032 : 369,211.50 = 369,211.50 : x
  2. Step 2: Convert to fraction form
    232,032/369,211.50 = 369,211.50/x
  3. Step 3: Cross multiply
    232,032x = 369,211.50 × 369,211.50
  4. Step 4: Simplify right side
    232,032x = 136,317,131,732.25
  5. Step 5: Solve for x
    x = 136,317,131,732.25/232,032
  6. Step 6: Final answer
    x = 587,492.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.