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Finding the Third Proportional to 301,102.75 and 440,347

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Solution

The third proportional to 301,102.75 and 440,347 is: 643,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,102.75 : 440,347 = 440,347 : x
  2. Step 2: Convert to fraction form
    301,102.75/440,347 = 440,347/x
  3. Step 3: Cross multiply
    301,102.75x = 440,347 × 440,347
  4. Step 4: Simplify right side
    301,102.75x = 193,905,480,409
  5. Step 5: Solve for x
    x = 193,905,480,409/301,102.75
  6. Step 6: Final answer
    x = 643,984.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.