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Finding the Third Proportional to 829,129 and 1,243,451

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Solution

The third proportional to 829,129 and 1,243,451 is: 1,864,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,129 : 1,243,451 = 1,243,451 : x
  2. Step 2: Convert to fraction form
    829,129/1,243,451 = 1,243,451/x
  3. Step 3: Cross multiply
    829,129x = 1,243,451 × 1,243,451
  4. Step 4: Simplify right side
    829,129x = 1,546,170,389,401
  5. Step 5: Solve for x
    x = 1,546,170,389,401/829,129
  6. Step 6: Final answer
    x = 1,864,812.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.