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Finding the Third Proportional to 287,042 and 628,804

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Solution

The third proportional to 287,042 and 628,804 is: 1,377,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,042 : 628,804 = 628,804 : x
  2. Step 2: Convert to fraction form
    287,042/628,804 = 628,804/x
  3. Step 3: Cross multiply
    287,042x = 628,804 × 628,804
  4. Step 4: Simplify right side
    287,042x = 395,394,470,416
  5. Step 5: Solve for x
    x = 395,394,470,416/287,042
  6. Step 6: Final answer
    x = 1,377,479.50

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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.