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Finding the Third Proportional to 147,207 and 317,742

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Solution

The third proportional to 147,207 and 317,742 is: 685,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,207 : 317,742 = 317,742 : x
  2. Step 2: Convert to fraction form
    147,207/317,742 = 317,742/x
  3. Step 3: Cross multiply
    147,207x = 317,742 × 317,742
  4. Step 4: Simplify right side
    147,207x = 100,959,978,564
  5. Step 5: Solve for x
    x = 100,959,978,564/147,207
  6. Step 6: Final answer
    x = 685,836.81

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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.