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Finding the Third Proportional to 287,937 and 628,281

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Solution

The third proportional to 287,937 and 628,281 is: 1,370,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,937 : 628,281 = 628,281 : x
  2. Step 2: Convert to fraction form
    287,937/628,281 = 628,281/x
  3. Step 3: Cross multiply
    287,937x = 628,281 × 628,281
  4. Step 4: Simplify right side
    287,937x = 394,737,014,961
  5. Step 5: Solve for x
    x = 394,737,014,961/287,937
  6. Step 6: Final answer
    x = 1,370,914.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.