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Finding the Third Proportional to 352,232 and 770,925

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Solution

The third proportional to 352,232 and 770,925 is: 1,687,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,232 : 770,925 = 770,925 : x
  2. Step 2: Convert to fraction form
    352,232/770,925 = 770,925/x
  3. Step 3: Cross multiply
    352,232x = 770,925 × 770,925
  4. Step 4: Simplify right side
    352,232x = 594,325,355,625
  5. Step 5: Solve for x
    x = 594,325,355,625/352,232
  6. Step 6: Final answer
    x = 1,687,312.21

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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.