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Finding the Third Proportional to 348,761 and 493,631

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Solution

The third proportional to 348,761 and 493,631 is: 698,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,761 : 493,631 = 493,631 : x
  2. Step 2: Convert to fraction form
    348,761/493,631 = 493,631/x
  3. Step 3: Cross multiply
    348,761x = 493,631 × 493,631
  4. Step 4: Simplify right side
    348,761x = 243,671,564,161
  5. Step 5: Solve for x
    x = 243,671,564,161/348,761
  6. Step 6: Final answer
    x = 698,677.79

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.