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Finding the Third Proportional to 135,194 and 312,964

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Solution

The third proportional to 135,194 and 312,964 is: 724,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,194 : 312,964 = 312,964 : x
  2. Step 2: Convert to fraction form
    135,194/312,964 = 312,964/x
  3. Step 3: Cross multiply
    135,194x = 312,964 × 312,964
  4. Step 4: Simplify right side
    135,194x = 97,946,465,296
  5. Step 5: Solve for x
    x = 97,946,465,296/135,194
  6. Step 6: Final answer
    x = 724,488.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.