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Finding the Third Proportional to 130,636 and 198,248

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Solution

The third proportional to 130,636 and 198,248 is: 300,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,636 : 198,248 = 198,248 : x
  2. Step 2: Convert to fraction form
    130,636/198,248 = 198,248/x
  3. Step 3: Cross multiply
    130,636x = 198,248 × 198,248
  4. Step 4: Simplify right side
    130,636x = 39,302,269,504
  5. Step 5: Solve for x
    x = 39,302,269,504/130,636
  6. Step 6: Final answer
    x = 300,853.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.