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Finding the Third Proportional to 356,876 and 484,442

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Solution

The third proportional to 356,876 and 484,442 is: 657,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,876 : 484,442 = 484,442 : x
  2. Step 2: Convert to fraction form
    356,876/484,442 = 484,442/x
  3. Step 3: Cross multiply
    356,876x = 484,442 × 484,442
  4. Step 4: Simplify right side
    356,876x = 234,684,051,364
  5. Step 5: Solve for x
    x = 234,684,051,364/356,876
  6. Step 6: Final answer
    x = 657,606.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.