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Finding the Third Proportional to 127,521 and 198,369

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Solution

The third proportional to 127,521 and 198,369 is: 308,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,521 : 198,369 = 198,369 : x
  2. Step 2: Convert to fraction form
    127,521/198,369 = 198,369/x
  3. Step 3: Cross multiply
    127,521x = 198,369 × 198,369
  4. Step 4: Simplify right side
    127,521x = 39,350,260,161
  5. Step 5: Solve for x
    x = 39,350,260,161/127,521
  6. Step 6: Final answer
    x = 308,578.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.