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Finding the Third Proportional to 287,046 and 628,812

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Solution

The third proportional to 287,046 and 628,812 is: 1,377,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,046 : 628,812 = 628,812 : x
  2. Step 2: Convert to fraction form
    287,046/628,812 = 628,812/x
  3. Step 3: Cross multiply
    287,046x = 628,812 × 628,812
  4. Step 4: Simplify right side
    287,046x = 395,404,531,344
  5. Step 5: Solve for x
    x = 395,404,531,344/287,046
  6. Step 6: Final answer
    x = 1,377,495.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.