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Finding the Third Proportional to 152,551 and 331,347

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Solution

The third proportional to 152,551 and 331,347 is: 719,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,551 : 331,347 = 331,347 : x
  2. Step 2: Convert to fraction form
    152,551/331,347 = 331,347/x
  3. Step 3: Cross multiply
    152,551x = 331,347 × 331,347
  4. Step 4: Simplify right side
    152,551x = 109,790,834,409
  5. Step 5: Solve for x
    x = 109,790,834,409/152,551
  6. Step 6: Final answer
    x = 719,699.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.