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Finding the Third Proportional to 127,786 and 198,060

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Solution

The third proportional to 127,786 and 198,060 is: 306,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,786 : 198,060 = 198,060 : x
  2. Step 2: Convert to fraction form
    127,786/198,060 = 198,060/x
  3. Step 3: Cross multiply
    127,786x = 198,060 × 198,060
  4. Step 4: Simplify right side
    127,786x = 39,227,763,600
  5. Step 5: Solve for x
    x = 39,227,763,600/127,786
  6. Step 6: Final answer
    x = 306,980.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.