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Finding the Third Proportional to 199,488 and 298,557

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Solution

The third proportional to 199,488 and 298,557 is: 446,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,488 : 298,557 = 298,557 : x
  2. Step 2: Convert to fraction form
    199,488/298,557 = 298,557/x
  3. Step 3: Cross multiply
    199,488x = 298,557 × 298,557
  4. Step 4: Simplify right side
    199,488x = 89,136,282,249
  5. Step 5: Solve for x
    x = 89,136,282,249/199,488
  6. Step 6: Final answer
    x = 446,825.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.