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Finding the Third Proportional to 643,488 and 846,192

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Solution

The third proportional to 643,488 and 846,192 is: 1,112,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,488 : 846,192 = 846,192 : x
  2. Step 2: Convert to fraction form
    643,488/846,192 = 846,192/x
  3. Step 3: Cross multiply
    643,488x = 846,192 × 846,192
  4. Step 4: Simplify right side
    643,488x = 716,040,900,864
  5. Step 5: Solve for x
    x = 716,040,900,864/643,488
  6. Step 6: Final answer
    x = 1,112,749.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.