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Finding the Third Proportional to 199,312 and 298,418

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Solution

The third proportional to 199,312 and 298,418 is: 446,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,312 : 298,418 = 298,418 : x
  2. Step 2: Convert to fraction form
    199,312/298,418 = 298,418/x
  3. Step 3: Cross multiply
    199,312x = 298,418 × 298,418
  4. Step 4: Simplify right side
    199,312x = 89,053,302,724
  5. Step 5: Solve for x
    x = 89,053,302,724/199,312
  6. Step 6: Final answer
    x = 446,803.52

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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.