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Finding the Third Proportional to 135,083 and 312,719

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Solution

The third proportional to 135,083 and 312,719 is: 723,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,083 : 312,719 = 312,719 : x
  2. Step 2: Convert to fraction form
    135,083/312,719 = 312,719/x
  3. Step 3: Cross multiply
    135,083x = 312,719 × 312,719
  4. Step 4: Simplify right side
    135,083x = 97,793,172,961
  5. Step 5: Solve for x
    x = 97,793,172,961/135,083
  6. Step 6: Final answer
    x = 723,948.78

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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.