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Finding the Third Proportional to 290,864 and 426,720

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Solution

The third proportional to 290,864 and 426,720 is: 626,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,864 : 426,720 = 426,720 : x
  2. Step 2: Convert to fraction form
    290,864/426,720 = 426,720/x
  3. Step 3: Cross multiply
    290,864x = 426,720 × 426,720
  4. Step 4: Simplify right side
    290,864x = 182,089,958,400
  5. Step 5: Solve for x
    x = 182,089,958,400/290,864
  6. Step 6: Final answer
    x = 626,031.27

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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.