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Finding the Third Proportional to 135,936 and 316,050

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Solution

The third proportional to 135,936 and 316,050 is: 734,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,936 : 316,050 = 316,050 : x
  2. Step 2: Convert to fraction form
    135,936/316,050 = 316,050/x
  3. Step 3: Cross multiply
    135,936x = 316,050 × 316,050
  4. Step 4: Simplify right side
    135,936x = 99,887,602,500
  5. Step 5: Solve for x
    x = 99,887,602,500/135,936
  6. Step 6: Final answer
    x = 734,813.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.