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Finding the Third Proportional to 505,683 and 782,946

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Solution

The third proportional to 505,683 and 782,946 is: 1,212,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,683 : 782,946 = 782,946 : x
  2. Step 2: Convert to fraction form
    505,683/782,946 = 782,946/x
  3. Step 3: Cross multiply
    505,683x = 782,946 × 782,946
  4. Step 4: Simplify right side
    505,683x = 613,004,438,916
  5. Step 5: Solve for x
    x = 613,004,438,916/505,683
  6. Step 6: Final answer
    x = 1,212,230.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.