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Finding the Third Proportional to 135,111 and 312,789

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Solution

The third proportional to 135,111 and 312,789 is: 724,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,111 : 312,789 = 312,789 : x
  2. Step 2: Convert to fraction form
    135,111/312,789 = 312,789/x
  3. Step 3: Cross multiply
    135,111x = 312,789 × 312,789
  4. Step 4: Simplify right side
    135,111x = 97,836,958,521
  5. Step 5: Solve for x
    x = 97,836,958,521/135,111
  6. Step 6: Final answer
    x = 724,122.82

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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.