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Finding the Third Proportional to 293,535 and 643,329

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Solution

The third proportional to 293,535 and 643,329 is: 1,409,958.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,535 : 643,329 = 643,329 : x
  2. Step 2: Convert to fraction form
    293,535/643,329 = 643,329/x
  3. Step 3: Cross multiply
    293,535x = 643,329 × 643,329
  4. Step 4: Simplify right side
    293,535x = 413,872,202,241
  5. Step 5: Solve for x
    x = 413,872,202,241/293,535
  6. Step 6: Final answer
    x = 1,409,958.62

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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.