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Finding the Third Proportional to 131,176 and 286,976

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Solution

The third proportional to 131,176 and 286,976 is: 627,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,176 : 286,976 = 286,976 : x
  2. Step 2: Convert to fraction form
    131,176/286,976 = 286,976/x
  3. Step 3: Cross multiply
    131,176x = 286,976 × 286,976
  4. Step 4: Simplify right side
    131,176x = 82,355,224,576
  5. Step 5: Solve for x
    x = 82,355,224,576/131,176
  6. Step 6: Final answer
    x = 627,822.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.