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Finding the Third Proportional to 426,868 and 643,116

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Solution

The third proportional to 426,868 and 643,116 is: 968,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,868 : 643,116 = 643,116 : x
  2. Step 2: Convert to fraction form
    426,868/643,116 = 643,116/x
  3. Step 3: Cross multiply
    426,868x = 643,116 × 643,116
  4. Step 4: Simplify right side
    426,868x = 413,598,189,456
  5. Step 5: Solve for x
    x = 413,598,189,456/426,868
  6. Step 6: Final answer
    x = 968,913.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.