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Finding the Third Proportional to 287,037 and 628,614

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Solution

The third proportional to 287,037 and 628,614 is: 1,376,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,037 : 628,614 = 628,614 : x
  2. Step 2: Convert to fraction form
    287,037/628,614 = 628,614/x
  3. Step 3: Cross multiply
    287,037x = 628,614 × 628,614
  4. Step 4: Simplify right side
    287,037x = 395,155,560,996
  5. Step 5: Solve for x
    x = 395,155,560,996/287,037
  6. Step 6: Final answer
    x = 1,376,671.16

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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.