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Finding the Third Proportional to 199,478 and 437,108

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Solution

The third proportional to 199,478 and 437,108 is: 957,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,478 : 437,108 = 437,108 : x
  2. Step 2: Convert to fraction form
    199,478/437,108 = 437,108/x
  3. Step 3: Cross multiply
    199,478x = 437,108 × 437,108
  4. Step 4: Simplify right side
    199,478x = 191,063,403,664
  5. Step 5: Solve for x
    x = 191,063,403,664/199,478
  6. Step 6: Final answer
    x = 957,816.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.