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Finding the Third Proportional to 294,664 and 643,304

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Solution

The third proportional to 294,664 and 643,304 is: 1,404,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,664 : 643,304 = 643,304 : x
  2. Step 2: Convert to fraction form
    294,664/643,304 = 643,304/x
  3. Step 3: Cross multiply
    294,664x = 643,304 × 643,304
  4. Step 4: Simplify right side
    294,664x = 413,840,036,416
  5. Step 5: Solve for x
    x = 413,840,036,416/294,664
  6. Step 6: Final answer
    x = 1,404,447.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.