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Finding the Third Proportional to 129,372 and 277,640

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Solution

The third proportional to 129,372 and 277,640 is: 595,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,372 : 277,640 = 277,640 : x
  2. Step 2: Convert to fraction form
    129,372/277,640 = 277,640/x
  3. Step 3: Cross multiply
    129,372x = 277,640 × 277,640
  4. Step 4: Simplify right side
    129,372x = 77,083,969,600
  5. Step 5: Solve for x
    x = 77,083,969,600/129,372
  6. Step 6: Final answer
    x = 595,831.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.