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Finding the Third Proportional to 492,868.50 and 741,489

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Solution

The third proportional to 492,868.50 and 741,489 is: 1,115,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,868.50 : 741,489 = 741,489 : x
  2. Step 2: Convert to fraction form
    492,868.50/741,489 = 741,489/x
  3. Step 3: Cross multiply
    492,868.50x = 741,489 × 741,489
  4. Step 4: Simplify right side
    492,868.50x = 549,805,937,121
  5. Step 5: Solve for x
    x = 549,805,937,121/492,868.50
  6. Step 6: Final answer
    x = 1,115,522.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.