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Finding the Third Proportional to 200,778 and 372,828

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Solution

The third proportional to 200,778 and 372,828 is: 692,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778 : 372,828 = 372,828 : x
  2. Step 2: Convert to fraction form
    200,778/372,828 = 372,828/x
  3. Step 3: Cross multiply
    200,778x = 372,828 × 372,828
  4. Step 4: Simplify right side
    200,778x = 139,000,717,584
  5. Step 5: Solve for x
    x = 139,000,717,584/200,778
  6. Step 6: Final answer
    x = 692,310.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.