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Finding the Third Proportional to 129,044 and 277,861

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Solution

The third proportional to 129,044 and 277,861 is: 598,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,044 : 277,861 = 277,861 : x
  2. Step 2: Convert to fraction form
    129,044/277,861 = 277,861/x
  3. Step 3: Cross multiply
    129,044x = 277,861 × 277,861
  4. Step 4: Simplify right side
    129,044x = 77,206,735,321
  5. Step 5: Solve for x
    x = 77,206,735,321/129,044
  6. Step 6: Final answer
    x = 598,297.75

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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.