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Finding the Third Proportional to 303,548 and 438,538

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Solution

The third proportional to 303,548 and 438,538 is: 633,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,548 : 438,538 = 438,538 : x
  2. Step 2: Convert to fraction form
    303,548/438,538 = 438,538/x
  3. Step 3: Cross multiply
    303,548x = 438,538 × 438,538
  4. Step 4: Simplify right side
    303,548x = 192,315,577,444
  5. Step 5: Solve for x
    x = 192,315,577,444/303,548
  6. Step 6: Final answer
    x = 633,559.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.