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Finding the Third Proportional to 305,671 and 670,391

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Solution

The third proportional to 305,671 and 670,391 is: 1,470,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,671 : 670,391 = 670,391 : x
  2. Step 2: Convert to fraction form
    305,671/670,391 = 670,391/x
  3. Step 3: Cross multiply
    305,671x = 670,391 × 670,391
  4. Step 4: Simplify right side
    305,671x = 449,424,092,881
  5. Step 5: Solve for x
    x = 449,424,092,881/305,671
  6. Step 6: Final answer
    x = 1,470,286.98

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Why These Related Problems?

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