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Finding the Third Proportional to 401,724 and 571,110

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Solution

The third proportional to 401,724 and 571,110 is: 811,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,724 : 571,110 = 571,110 : x
  2. Step 2: Convert to fraction form
    401,724/571,110 = 571,110/x
  3. Step 3: Cross multiply
    401,724x = 571,110 × 571,110
  4. Step 4: Simplify right side
    401,724x = 326,166,632,100
  5. Step 5: Solve for x
    x = 326,166,632,100/401,724
  6. Step 6: Final answer
    x = 811,917.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.