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Finding the Third Proportional to 354,433 and 539,042

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Solution

The third proportional to 354,433 and 539,042 is: 819,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,433 : 539,042 = 539,042 : x
  2. Step 2: Convert to fraction form
    354,433/539,042 = 539,042/x
  3. Step 3: Cross multiply
    354,433x = 539,042 × 539,042
  4. Step 4: Simplify right side
    354,433x = 290,566,277,764
  5. Step 5: Solve for x
    x = 290,566,277,764/354,433
  6. Step 6: Final answer
    x = 819,805.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.