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Finding the Third Proportional to 127,776 and 197,649

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Solution

The third proportional to 127,776 and 197,649 is: 305,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,776 : 197,649 = 197,649 : x
  2. Step 2: Convert to fraction form
    127,776/197,649 = 197,649/x
  3. Step 3: Cross multiply
    127,776x = 197,649 × 197,649
  4. Step 4: Simplify right side
    127,776x = 39,065,127,201
  5. Step 5: Solve for x
    x = 39,065,127,201/127,776
  6. Step 6: Final answer
    x = 305,731.34

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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.