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Finding the Third Proportional to 147,093 and 317,511

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Solution

The third proportional to 147,093 and 317,511 is: 685,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,093 : 317,511 = 317,511 : x
  2. Step 2: Convert to fraction form
    147,093/317,511 = 317,511/x
  3. Step 3: Cross multiply
    147,093x = 317,511 × 317,511
  4. Step 4: Simplify right side
    147,093x = 100,813,235,121
  5. Step 5: Solve for x
    x = 100,813,235,121/147,093
  6. Step 6: Final answer
    x = 685,370.72

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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.