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Finding the Third Proportional to 199,807 and 428,115

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Solution

The third proportional to 199,807 and 428,115 is: 917,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,807 : 428,115 = 428,115 : x
  2. Step 2: Convert to fraction form
    199,807/428,115 = 428,115/x
  3. Step 3: Cross multiply
    199,807x = 428,115 × 428,115
  4. Step 4: Simplify right side
    199,807x = 183,282,453,225
  5. Step 5: Solve for x
    x = 183,282,453,225/199,807
  6. Step 6: Final answer
    x = 917,297.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.