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Finding the Third Proportional to 287,012 and 625,693

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Solution

The third proportional to 287,012 and 625,693 is: 1,364,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,012 : 625,693 = 625,693 : x
  2. Step 2: Convert to fraction form
    287,012/625,693 = 625,693/x
  3. Step 3: Cross multiply
    287,012x = 625,693 × 625,693
  4. Step 4: Simplify right side
    287,012x = 391,491,730,249
  5. Step 5: Solve for x
    x = 391,491,730,249/287,012
  6. Step 6: Final answer
    x = 1,364,025.65

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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.