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Finding the Third Proportional to 294,726 and 643,420

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Solution

The third proportional to 294,726 and 643,420 is: 1,404,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,726 : 643,420 = 643,420 : x
  2. Step 2: Convert to fraction form
    294,726/643,420 = 643,420/x
  3. Step 3: Cross multiply
    294,726x = 643,420 × 643,420
  4. Step 4: Simplify right side
    294,726x = 413,989,296,400
  5. Step 5: Solve for x
    x = 413,989,296,400/294,726
  6. Step 6: Final answer
    x = 1,404,658.21

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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.