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Finding the Third Proportional to 287,015 and 625,699

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Solution

The third proportional to 287,015 and 625,699 is: 1,364,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,015 : 625,699 = 625,699 : x
  2. Step 2: Convert to fraction form
    287,015/625,699 = 625,699/x
  3. Step 3: Cross multiply
    287,015x = 625,699 × 625,699
  4. Step 4: Simplify right side
    287,015x = 391,499,238,601
  5. Step 5: Solve for x
    x = 391,499,238,601/287,015
  6. Step 6: Final answer
    x = 1,364,037.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.