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Finding the Third Proportional to 348,752 and 493,621

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Solution

The third proportional to 348,752 and 493,621 is: 698,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,752 : 493,621 = 493,621 : x
  2. Step 2: Convert to fraction form
    348,752/493,621 = 493,621/x
  3. Step 3: Cross multiply
    348,752x = 493,621 × 493,621
  4. Step 4: Simplify right side
    348,752x = 243,661,691,641
  5. Step 5: Solve for x
    x = 243,661,691,641/348,752
  6. Step 6: Final answer
    x = 698,667.51

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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.