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Finding the Third Proportional to 199,639 and 301,538

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Solution

The third proportional to 199,639 and 301,538 is: 455,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,639 : 301,538 = 301,538 : x
  2. Step 2: Convert to fraction form
    199,639/301,538 = 301,538/x
  3. Step 3: Cross multiply
    199,639x = 301,538 × 301,538
  4. Step 4: Simplify right side
    199,639x = 90,925,165,444
  5. Step 5: Solve for x
    x = 90,925,165,444/199,639
  6. Step 6: Final answer
    x = 455,447.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.