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Finding the Third Proportional to 463,466 and 620,751

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Solution

The third proportional to 463,466 and 620,751 is: 831,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,466 : 620,751 = 620,751 : x
  2. Step 2: Convert to fraction form
    463,466/620,751 = 620,751/x
  3. Step 3: Cross multiply
    463,466x = 620,751 × 620,751
  4. Step 4: Simplify right side
    463,466x = 385,331,804,001
  5. Step 5: Solve for x
    x = 385,331,804,001/463,466
  6. Step 6: Final answer
    x = 831,413.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.