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Finding the Third Proportional to 129,270 and 279,297

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Solution

The third proportional to 129,270 and 279,297 is: 603,440.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,270 : 279,297 = 279,297 : x
  2. Step 2: Convert to fraction form
    129,270/279,297 = 279,297/x
  3. Step 3: Cross multiply
    129,270x = 279,297 × 279,297
  4. Step 4: Simplify right side
    129,270x = 78,006,814,209
  5. Step 5: Solve for x
    x = 78,006,814,209/129,270
  6. Step 6: Final answer
    x = 603,440.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.