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Finding the Third Proportional to 521,692 and 829,230

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Solution

The third proportional to 521,692 and 829,230 is: 1,318,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,692 : 829,230 = 829,230 : x
  2. Step 2: Convert to fraction form
    521,692/829,230 = 829,230/x
  3. Step 3: Cross multiply
    521,692x = 829,230 × 829,230
  4. Step 4: Simplify right side
    521,692x = 687,622,392,900
  5. Step 5: Solve for x
    x = 687,622,392,900/521,692
  6. Step 6: Final answer
    x = 1,318,061.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.