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Finding the Third Proportional to 387,522 and 851,427

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Solution

The third proportional to 387,522 and 851,427 is: 1,870,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,522 : 851,427 = 851,427 : x
  2. Step 2: Convert to fraction form
    387,522/851,427 = 851,427/x
  3. Step 3: Cross multiply
    387,522x = 851,427 × 851,427
  4. Step 4: Simplify right side
    387,522x = 724,927,936,329
  5. Step 5: Solve for x
    x = 724,927,936,329/387,522
  6. Step 6: Final answer
    x = 1,870,675.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.