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Finding the Third Proportional to 287,996 and 387,699

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Solution

The third proportional to 287,996 and 387,699 is: 521,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,996 : 387,699 = 387,699 : x
  2. Step 2: Convert to fraction form
    287,996/387,699 = 387,699/x
  3. Step 3: Cross multiply
    287,996x = 387,699 × 387,699
  4. Step 4: Simplify right side
    287,996x = 150,310,514,601
  5. Step 5: Solve for x
    x = 150,310,514,601/287,996
  6. Step 6: Final answer
    x = 521,918.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.