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Finding the Third Proportional to 153,372 and 314,375

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Solution

The third proportional to 153,372 and 314,375 is: 644,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,372 : 314,375 = 314,375 : x
  2. Step 2: Convert to fraction form
    153,372/314,375 = 314,375/x
  3. Step 3: Cross multiply
    153,372x = 314,375 × 314,375
  4. Step 4: Simplify right side
    153,372x = 98,831,640,625
  5. Step 5: Solve for x
    x = 98,831,640,625/153,372
  6. Step 6: Final answer
    x = 644,391.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.