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Finding the Third Proportional to 201,129.75 and 440,663.63

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Solution

The third proportional to 201,129.75 and 440,663.63 is: 965,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,129.75 : 440,663.63 = 440,663.63 : x
  2. Step 2: Convert to fraction form
    201,129.75/440,663.63 = 440,663.63/x
  3. Step 3: Cross multiply
    201,129.75x = 440,663.63 × 440,663.63
  4. Step 4: Simplify right side
    201,129.75x = 194,184,430,398.14
  5. Step 5: Solve for x
    x = 194,184,430,398.14/201,129.75
  6. Step 6: Final answer
    x = 965,468.46

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