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Finding the Third Proportional to 129,354 and 277,608

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Solution

The third proportional to 129,354 and 277,608 is: 595,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,354 : 277,608 = 277,608 : x
  2. Step 2: Convert to fraction form
    129,354/277,608 = 277,608/x
  3. Step 3: Cross multiply
    129,354x = 277,608 × 277,608
  4. Step 4: Simplify right side
    129,354x = 77,066,201,664
  5. Step 5: Solve for x
    x = 77,066,201,664/129,354
  6. Step 6: Final answer
    x = 595,777.49

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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.