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Finding the Third Proportional to 135,378 and 312,013

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Solution

The third proportional to 135,378 and 312,013 is: 719,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,378 : 312,013 = 312,013 : x
  2. Step 2: Convert to fraction form
    135,378/312,013 = 312,013/x
  3. Step 3: Cross multiply
    135,378x = 312,013 × 312,013
  4. Step 4: Simplify right side
    135,378x = 97,352,112,169
  5. Step 5: Solve for x
    x = 97,352,112,169/135,378
  6. Step 6: Final answer
    x = 719,113.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.