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Finding the Third Proportional to 147,087 and 317,505

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Solution

The third proportional to 147,087 and 317,505 is: 685,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,087 : 317,505 = 317,505 : x
  2. Step 2: Convert to fraction form
    147,087/317,505 = 317,505/x
  3. Step 3: Cross multiply
    147,087x = 317,505 × 317,505
  4. Step 4: Simplify right side
    147,087x = 100,809,425,025
  5. Step 5: Solve for x
    x = 100,809,425,025/147,087
  6. Step 6: Final answer
    x = 685,372.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.