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Finding the Third Proportional to 290,882 and 426,744

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Solution

The third proportional to 290,882 and 426,744 is: 626,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,882 : 426,744 = 426,744 : x
  2. Step 2: Convert to fraction form
    290,882/426,744 = 426,744/x
  3. Step 3: Cross multiply
    290,882x = 426,744 × 426,744
  4. Step 4: Simplify right side
    290,882x = 182,110,441,536
  5. Step 5: Solve for x
    x = 182,110,441,536/290,882
  6. Step 6: Final answer
    x = 626,062.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.