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Finding the Third Proportional to 638,328 and 970,755

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Solution

The third proportional to 638,328 and 970,755 is: 1,476,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,328 : 970,755 = 970,755 : x
  2. Step 2: Convert to fraction form
    638,328/970,755 = 970,755/x
  3. Step 3: Cross multiply
    638,328x = 970,755 × 970,755
  4. Step 4: Simplify right side
    638,328x = 942,365,270,025
  5. Step 5: Solve for x
    x = 942,365,270,025/638,328
  6. Step 6: Final answer
    x = 1,476,302.57

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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.