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Finding the Third Proportional to 133,126 and 286,549

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Solution

The third proportional to 133,126 and 286,549 is: 616,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,126 : 286,549 = 286,549 : x
  2. Step 2: Convert to fraction form
    133,126/286,549 = 286,549/x
  3. Step 3: Cross multiply
    133,126x = 286,549 × 286,549
  4. Step 4: Simplify right side
    133,126x = 82,110,329,401
  5. Step 5: Solve for x
    x = 82,110,329,401/133,126
  6. Step 6: Final answer
    x = 616,786.57

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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.