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Finding the Third Proportional to 136,053 and 317,705

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Solution

The third proportional to 136,053 and 317,705 is: 741,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,053 : 317,705 = 317,705 : x
  2. Step 2: Convert to fraction form
    136,053/317,705 = 317,705/x
  3. Step 3: Cross multiply
    136,053x = 317,705 × 317,705
  4. Step 4: Simplify right side
    136,053x = 100,936,467,025
  5. Step 5: Solve for x
    x = 100,936,467,025/136,053
  6. Step 6: Final answer
    x = 741,890.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.