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Finding the Third Proportional to 129,728 and 279,466

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Solution

The third proportional to 129,728 and 279,466 is: 602,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,728 : 279,466 = 279,466 : x
  2. Step 2: Convert to fraction form
    129,728/279,466 = 279,466/x
  3. Step 3: Cross multiply
    129,728x = 279,466 × 279,466
  4. Step 4: Simplify right side
    129,728x = 78,101,245,156
  5. Step 5: Solve for x
    x = 78,101,245,156/129,728
  6. Step 6: Final answer
    x = 602,038.46

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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.