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Finding the Third Proportional to 331,312 and 441,409

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Solution

The third proportional to 331,312 and 441,409 is: 588,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,312 : 441,409 = 441,409 : x
  2. Step 2: Convert to fraction form
    331,312/441,409 = 441,409/x
  3. Step 3: Cross multiply
    331,312x = 441,409 × 441,409
  4. Step 4: Simplify right side
    331,312x = 194,841,905,281
  5. Step 5: Solve for x
    x = 194,841,905,281/331,312
  6. Step 6: Final answer
    x = 588,091.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.