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Finding the Third Proportional to 419,292 and 664,254

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Solution

The third proportional to 419,292 and 664,254 is: 1,052,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,292 : 664,254 = 664,254 : x
  2. Step 2: Convert to fraction form
    419,292/664,254 = 664,254/x
  3. Step 3: Cross multiply
    419,292x = 664,254 × 664,254
  4. Step 4: Simplify right side
    419,292x = 441,233,376,516
  5. Step 5: Solve for x
    x = 441,233,376,516/419,292
  6. Step 6: Final answer
    x = 1,052,329.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.