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Finding the Third Proportional to 133,085 and 287,491

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Solution

The third proportional to 133,085 and 287,491 is: 621,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 287,491 = 287,491 : x
  2. Step 2: Convert to fraction form
    133,085/287,491 = 287,491/x
  3. Step 3: Cross multiply
    133,085x = 287,491 × 287,491
  4. Step 4: Simplify right side
    133,085x = 82,651,075,081
  5. Step 5: Solve for x
    x = 82,651,075,081/133,085
  6. Step 6: Final answer
    x = 621,039.75

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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.