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Finding the Third Proportional to 135,552 and 286,976

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Solution

The third proportional to 135,552 and 286,976 is: 607,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,552 : 286,976 = 286,976 : x
  2. Step 2: Convert to fraction form
    135,552/286,976 = 286,976/x
  3. Step 3: Cross multiply
    135,552x = 286,976 × 286,976
  4. Step 4: Simplify right side
    135,552x = 82,355,224,576
  5. Step 5: Solve for x
    x = 82,355,224,576/135,552
  6. Step 6: Final answer
    x = 607,554.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.