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Finding the Third Proportional to 157,090 and 323,396

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Solution

The third proportional to 157,090 and 323,396 is: 665,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,090 : 323,396 = 323,396 : x
  2. Step 2: Convert to fraction form
    157,090/323,396 = 323,396/x
  3. Step 3: Cross multiply
    157,090x = 323,396 × 323,396
  4. Step 4: Simplify right side
    157,090x = 104,584,972,816
  5. Step 5: Solve for x
    x = 104,584,972,816/157,090
  6. Step 6: Final answer
    x = 665,764.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.