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Finding the Third Proportional to 426,392 and 660,324

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Solution

The third proportional to 426,392 and 660,324 is: 1,022,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,392 : 660,324 = 660,324 : x
  2. Step 2: Convert to fraction form
    426,392/660,324 = 660,324/x
  3. Step 3: Cross multiply
    426,392x = 660,324 × 660,324
  4. Step 4: Simplify right side
    426,392x = 436,027,784,976
  5. Step 5: Solve for x
    x = 436,027,784,976/426,392
  6. Step 6: Final answer
    x = 1,022,598.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.