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Finding the Third Proportional to 127,040 and 197,814

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Solution

The third proportional to 127,040 and 197,814 is: 308,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,040 : 197,814 = 197,814 : x
  2. Step 2: Convert to fraction form
    127,040/197,814 = 197,814/x
  3. Step 3: Cross multiply
    127,040x = 197,814 × 197,814
  4. Step 4: Simplify right side
    127,040x = 39,130,378,596
  5. Step 5: Solve for x
    x = 39,130,378,596/127,040
  6. Step 6: Final answer
    x = 308,016.20

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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.