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Finding the Third Proportional to 298,314 and 433,382

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Solution

The third proportional to 298,314 and 433,382 is: 629,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,314 : 433,382 = 433,382 : x
  2. Step 2: Convert to fraction form
    298,314/433,382 = 433,382/x
  3. Step 3: Cross multiply
    298,314x = 433,382 × 433,382
  4. Step 4: Simplify right side
    298,314x = 187,819,957,924
  5. Step 5: Solve for x
    x = 187,819,957,924/298,314
  6. Step 6: Final answer
    x = 629,604.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.