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Finding the Third Proportional to 829,135 and 1,243,458

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Solution

The third proportional to 829,135 and 1,243,458 is: 1,864,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,135 : 1,243,458 = 1,243,458 : x
  2. Step 2: Convert to fraction form
    829,135/1,243,458 = 1,243,458/x
  3. Step 3: Cross multiply
    829,135x = 1,243,458 × 1,243,458
  4. Step 4: Simplify right side
    829,135x = 1,546,187,797,764
  5. Step 5: Solve for x
    x = 1,546,187,797,764/829,135
  6. Step 6: Final answer
    x = 1,864,820.32

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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.