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Finding the Third Proportional to 426,318 and 656,976

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Solution

The third proportional to 426,318 and 656,976 is: 1,012,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,318 : 656,976 = 656,976 : x
  2. Step 2: Convert to fraction form
    426,318/656,976 = 656,976/x
  3. Step 3: Cross multiply
    426,318x = 656,976 × 656,976
  4. Step 4: Simplify right side
    426,318x = 431,617,464,576
  5. Step 5: Solve for x
    x = 431,617,464,576/426,318
  6. Step 6: Final answer
    x = 1,012,430.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.