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Finding the Third Proportional to 829,742 and 1,281,462

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Solution

The third proportional to 829,742 and 1,281,462 is: 1,979,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,742 : 1,281,462 = 1,281,462 : x
  2. Step 2: Convert to fraction form
    829,742/1,281,462 = 1,281,462/x
  3. Step 3: Cross multiply
    829,742x = 1,281,462 × 1,281,462
  4. Step 4: Simplify right side
    829,742x = 1,642,144,857,444
  5. Step 5: Solve for x
    x = 1,642,144,857,444/829,742
  6. Step 6: Final answer
    x = 1,979,102.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.