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Finding the Third Proportional to 135,207 and 312,995.25

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Solution

The third proportional to 135,207 and 312,995.25 is: 724,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,207 : 312,995.25 = 312,995.25 : x
  2. Step 2: Convert to fraction form
    135,207/312,995.25 = 312,995.25/x
  3. Step 3: Cross multiply
    135,207x = 312,995.25 × 312,995.25
  4. Step 4: Simplify right side
    135,207x = 97,966,026,522.56
  5. Step 5: Solve for x
    x = 97,966,026,522.56/135,207
  6. Step 6: Final answer
    x = 724,563.27

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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.