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Finding the Third Proportional to 295,382 and 445,503

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Solution

The third proportional to 295,382 and 445,503 is: 671,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,382 : 445,503 = 445,503 : x
  2. Step 2: Convert to fraction form
    295,382/445,503 = 445,503/x
  3. Step 3: Cross multiply
    295,382x = 445,503 × 445,503
  4. Step 4: Simplify right side
    295,382x = 198,472,923,009
  5. Step 5: Solve for x
    x = 198,472,923,009/295,382
  6. Step 6: Final answer
    x = 671,919.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.