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Finding the Third Proportional to 199,842 and 428,108

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Solution

The third proportional to 199,842 and 428,108 is: 917,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,842 : 428,108 = 428,108 : x
  2. Step 2: Convert to fraction form
    199,842/428,108 = 428,108/x
  3. Step 3: Cross multiply
    199,842x = 428,108 × 428,108
  4. Step 4: Simplify right side
    199,842x = 183,276,459,664
  5. Step 5: Solve for x
    x = 183,276,459,664/199,842
  6. Step 6: Final answer
    x = 917,106.81

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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.