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Finding the Third Proportional to 287,958 and 428,937

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Solution

The third proportional to 287,958 and 428,937 is: 638,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,958 : 428,937 = 428,937 : x
  2. Step 2: Convert to fraction form
    287,958/428,937 = 428,937/x
  3. Step 3: Cross multiply
    287,958x = 428,937 × 428,937
  4. Step 4: Simplify right side
    287,958x = 183,986,949,969
  5. Step 5: Solve for x
    x = 183,986,949,969/287,958
  6. Step 6: Final answer
    x = 638,936.75

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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.