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Finding the Third Proportional to 294,658 and 643,292

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Solution

The third proportional to 294,658 and 643,292 is: 1,404,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658 : 643,292 = 643,292 : x
  2. Step 2: Convert to fraction form
    294,658/643,292 = 643,292/x
  3. Step 3: Cross multiply
    294,658x = 643,292 × 643,292
  4. Step 4: Simplify right side
    294,658x = 413,824,597,264
  5. Step 5: Solve for x
    x = 413,824,597,264/294,658
  6. Step 6: Final answer
    x = 1,404,423.42

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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.