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Finding the Third Proportional to 129,288 and 277,008

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Solution

The third proportional to 129,288 and 277,008 is: 593,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,288 : 277,008 = 277,008 : x
  2. Step 2: Convert to fraction form
    129,288/277,008 = 277,008/x
  3. Step 3: Cross multiply
    129,288x = 277,008 × 277,008
  4. Step 4: Simplify right side
    129,288x = 76,733,432,064
  5. Step 5: Solve for x
    x = 76,733,432,064/129,288
  6. Step 6: Final answer
    x = 593,507.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.