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Finding the Third Proportional to 128,807 and 197,056

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Solution

The third proportional to 128,807 and 197,056 is: 301,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,807 : 197,056 = 197,056 : x
  2. Step 2: Convert to fraction form
    128,807/197,056 = 197,056/x
  3. Step 3: Cross multiply
    128,807x = 197,056 × 197,056
  4. Step 4: Simplify right side
    128,807x = 38,831,067,136
  5. Step 5: Solve for x
    x = 38,831,067,136/128,807
  6. Step 6: Final answer
    x = 301,467.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.