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Finding the Third Proportional to 135,105 and 312,774

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Solution

The third proportional to 135,105 and 312,774 is: 724,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,105 : 312,774 = 312,774 : x
  2. Step 2: Convert to fraction form
    135,105/312,774 = 312,774/x
  3. Step 3: Cross multiply
    135,105x = 312,774 × 312,774
  4. Step 4: Simplify right side
    135,105x = 97,827,575,076
  5. Step 5: Solve for x
    x = 97,827,575,076/135,105
  6. Step 6: Final answer
    x = 724,085.53

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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.