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Finding the Third Proportional to 305,734 and 440,371

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Solution

The third proportional to 305,734 and 440,371 is: 634,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,734 : 440,371 = 440,371 : x
  2. Step 2: Convert to fraction form
    305,734/440,371 = 440,371/x
  3. Step 3: Cross multiply
    305,734x = 440,371 × 440,371
  4. Step 4: Simplify right side
    305,734x = 193,926,617,641
  5. Step 5: Solve for x
    x = 193,926,617,641/305,734
  6. Step 6: Final answer
    x = 634,298.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.