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Finding the Third Proportional to 301,143.50 and 440,385

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Solution

The third proportional to 301,143.50 and 440,385 is: 644,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,143.50 : 440,385 = 440,385 : x
  2. Step 2: Convert to fraction form
    301,143.50/440,385 = 440,385/x
  3. Step 3: Cross multiply
    301,143.50x = 440,385 × 440,385
  4. Step 4: Simplify right side
    301,143.50x = 193,938,948,225
  5. Step 5: Solve for x
    x = 193,938,948,225/301,143.50
  6. Step 6: Final answer
    x = 644,008.42

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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.