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Finding the Third Proportional to 155,570 and 323,716

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Solution

The third proportional to 155,570 and 323,716 is: 673,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,570 : 323,716 = 323,716 : x
  2. Step 2: Convert to fraction form
    155,570/323,716 = 323,716/x
  3. Step 3: Cross multiply
    155,570x = 323,716 × 323,716
  4. Step 4: Simplify right side
    155,570x = 104,792,048,656
  5. Step 5: Solve for x
    x = 104,792,048,656/155,570
  6. Step 6: Final answer
    x = 673,600.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.