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Finding the Third Proportional to 199,730 and 428,836

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Solution

The third proportional to 199,730 and 428,836 is: 920,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,730 : 428,836 = 428,836 : x
  2. Step 2: Convert to fraction form
    199,730/428,836 = 428,836/x
  3. Step 3: Cross multiply
    199,730x = 428,836 × 428,836
  4. Step 4: Simplify right side
    199,730x = 183,900,314,896
  5. Step 5: Solve for x
    x = 183,900,314,896/199,730
  6. Step 6: Final answer
    x = 920,744.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.