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Finding the Third Proportional to 128,636 and 197,840

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Solution

The third proportional to 128,636 and 197,840 is: 304,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,636 : 197,840 = 197,840 : x
  2. Step 2: Convert to fraction form
    128,636/197,840 = 197,840/x
  3. Step 3: Cross multiply
    128,636x = 197,840 × 197,840
  4. Step 4: Simplify right side
    128,636x = 39,140,665,600
  5. Step 5: Solve for x
    x = 39,140,665,600/128,636
  6. Step 6: Final answer
    x = 304,274.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.