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Finding the Third Proportional to 293,829 and 643,026

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Solution

The third proportional to 293,829 and 643,026 is: 1,407,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,829 : 643,026 = 643,026 : x
  2. Step 2: Convert to fraction form
    293,829/643,026 = 643,026/x
  3. Step 3: Cross multiply
    293,829x = 643,026 × 643,026
  4. Step 4: Simplify right side
    293,829x = 413,482,436,676
  5. Step 5: Solve for x
    x = 413,482,436,676/293,829
  6. Step 6: Final answer
    x = 1,407,221.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.