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Finding the Third Proportional to 301,109 and 440,354

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Solution

The third proportional to 301,109 and 440,354 is: 643,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,109 : 440,354 = 440,354 : x
  2. Step 2: Convert to fraction form
    301,109/440,354 = 440,354/x
  3. Step 3: Cross multiply
    301,109x = 440,354 × 440,354
  4. Step 4: Simplify right side
    301,109x = 193,911,645,316
  5. Step 5: Solve for x
    x = 193,911,645,316/301,109
  6. Step 6: Final answer
    x = 643,991.53

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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.