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Finding the Third Proportional to 287,034 and 628,788

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Solution

The third proportional to 287,034 and 628,788 is: 1,377,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,034 : 628,788 = 628,788 : x
  2. Step 2: Convert to fraction form
    287,034/628,788 = 628,788/x
  3. Step 3: Cross multiply
    287,034x = 628,788 × 628,788
  4. Step 4: Simplify right side
    287,034x = 395,374,348,944
  5. Step 5: Solve for x
    x = 395,374,348,944/287,034
  6. Step 6: Final answer
    x = 1,377,447.79

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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.