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Finding the Third Proportional to 200,848 and 285,537

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Solution

The third proportional to 200,848 and 285,537 is: 405,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,848 : 285,537 = 285,537 : x
  2. Step 2: Convert to fraction form
    200,848/285,537 = 285,537/x
  3. Step 3: Cross multiply
    200,848x = 285,537 × 285,537
  4. Step 4: Simplify right side
    200,848x = 81,531,378,369
  5. Step 5: Solve for x
    x = 81,531,378,369/200,848
  6. Step 6: Final answer
    x = 405,935.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.