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Finding the Third Proportional to 133,025 and 288,655

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Solution

The third proportional to 133,025 and 288,655 is: 626,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025 : 288,655 = 288,655 : x
  2. Step 2: Convert to fraction form
    133,025/288,655 = 288,655/x
  3. Step 3: Cross multiply
    133,025x = 288,655 × 288,655
  4. Step 4: Simplify right side
    133,025x = 83,321,709,025
  5. Step 5: Solve for x
    x = 83,321,709,025/133,025
  6. Step 6: Final answer
    x = 626,361.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.