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Finding the Third Proportional to 312,538 and 483,639

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Solution

The third proportional to 312,538 and 483,639 is: 748,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,538 : 483,639 = 483,639 : x
  2. Step 2: Convert to fraction form
    312,538/483,639 = 483,639/x
  3. Step 3: Cross multiply
    312,538x = 483,639 × 483,639
  4. Step 4: Simplify right side
    312,538x = 233,906,682,321
  5. Step 5: Solve for x
    x = 233,906,682,321/312,538
  6. Step 6: Final answer
    x = 748,410.38

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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.