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Finding the Third Proportional to 133,124 and 286,545

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Solution

The third proportional to 133,124 and 286,545 is: 616,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,124 : 286,545 = 286,545 : x
  2. Step 2: Convert to fraction form
    133,124/286,545 = 286,545/x
  3. Step 3: Cross multiply
    133,124x = 286,545 × 286,545
  4. Step 4: Simplify right side
    133,124x = 82,108,037,025
  5. Step 5: Solve for x
    x = 82,108,037,025/133,124
  6. Step 6: Final answer
    x = 616,778.62

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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.