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Finding the Third Proportional to 494,132 and 1,077,480

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Solution

The third proportional to 494,132 and 1,077,480 is: 2,349,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,132 : 1,077,480 = 1,077,480 : x
  2. Step 2: Convert to fraction form
    494,132/1,077,480 = 1,077,480/x
  3. Step 3: Cross multiply
    494,132x = 1,077,480 × 1,077,480
  4. Step 4: Simplify right side
    494,132x = 1,160,963,150,400
  5. Step 5: Solve for x
    x = 1,160,963,150,400/494,132
  6. Step 6: Final answer
    x = 2,349,500.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.