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Finding the Third Proportional to 643,564 and 846,286

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Solution

The third proportional to 643,564 and 846,286 is: 1,112,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,564 : 846,286 = 846,286 : x
  2. Step 2: Convert to fraction form
    643,564/846,286 = 846,286/x
  3. Step 3: Cross multiply
    643,564x = 846,286 × 846,286
  4. Step 4: Simplify right side
    643,564x = 716,199,993,796
  5. Step 5: Solve for x
    x = 716,199,993,796/643,564
  6. Step 6: Final answer
    x = 1,112,865.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.