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Finding the Third Proportional to 137,079 and 317,318

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Solution

The third proportional to 137,079 and 317,318 is: 734,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,079 : 317,318 = 317,318 : x
  2. Step 2: Convert to fraction form
    137,079/317,318 = 317,318/x
  3. Step 3: Cross multiply
    137,079x = 317,318 × 317,318
  4. Step 4: Simplify right side
    137,079x = 100,690,713,124
  5. Step 5: Solve for x
    x = 100,690,713,124/137,079
  6. Step 6: Final answer
    x = 734,545.14

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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.