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Finding the Third Proportional to 129,255 and 273,415

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Solution

The third proportional to 129,255 and 273,415 is: 578,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,255 : 273,415 = 273,415 : x
  2. Step 2: Convert to fraction form
    129,255/273,415 = 273,415/x
  3. Step 3: Cross multiply
    129,255x = 273,415 × 273,415
  4. Step 4: Simplify right side
    129,255x = 74,755,762,225
  5. Step 5: Solve for x
    x = 74,755,762,225/129,255
  6. Step 6: Final answer
    x = 578,358.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.