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Finding the Third Proportional to 129,951 and 270,117

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Solution

The third proportional to 129,951 and 270,117 is: 561,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,951 : 270,117 = 270,117 : x
  2. Step 2: Convert to fraction form
    129,951/270,117 = 270,117/x
  3. Step 3: Cross multiply
    129,951x = 270,117 × 270,117
  4. Step 4: Simplify right side
    129,951x = 72,963,193,689
  5. Step 5: Solve for x
    x = 72,963,193,689/129,951
  6. Step 6: Final answer
    x = 561,466.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.