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Finding the Third Proportional to 133,064 and 287,451

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Solution

The third proportional to 133,064 and 287,451 is: 620,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064 : 287,451 = 287,451 : x
  2. Step 2: Convert to fraction form
    133,064/287,451 = 287,451/x
  3. Step 3: Cross multiply
    133,064x = 287,451 × 287,451
  4. Step 4: Simplify right side
    133,064x = 82,628,077,401
  5. Step 5: Solve for x
    x = 82,628,077,401/133,064
  6. Step 6: Final answer
    x = 620,964.93

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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.