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Finding the Third Proportional to 197,201 and 431,719

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Solution

The third proportional to 197,201 and 431,719 is: 945,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201 : 431,719 = 431,719 : x
  2. Step 2: Convert to fraction form
    197,201/431,719 = 431,719/x
  3. Step 3: Cross multiply
    197,201x = 431,719 × 431,719
  4. Step 4: Simplify right side
    197,201x = 186,381,294,961
  5. Step 5: Solve for x
    x = 186,381,294,961/197,201
  6. Step 6: Final answer
    x = 945,133.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.