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Finding the Third Proportional to 287,967 and 428,949

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Solution

The third proportional to 287,967 and 428,949 is: 638,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,967 : 428,949 = 428,949 : x
  2. Step 2: Convert to fraction form
    287,967/428,949 = 428,949/x
  3. Step 3: Cross multiply
    287,967x = 428,949 × 428,949
  4. Step 4: Simplify right side
    287,967x = 183,997,244,601
  5. Step 5: Solve for x
    x = 183,997,244,601/287,967
  6. Step 6: Final answer
    x = 638,952.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.