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Finding the Third Proportional to 128,271 and 197,327

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Solution

The third proportional to 128,271 and 197,327 is: 303,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,271 : 197,327 = 197,327 : x
  2. Step 2: Convert to fraction form
    128,271/197,327 = 197,327/x
  3. Step 3: Cross multiply
    128,271x = 197,327 × 197,327
  4. Step 4: Simplify right side
    128,271x = 38,937,944,929
  5. Step 5: Solve for x
    x = 38,937,944,929/128,271
  6. Step 6: Final answer
    x = 303,560.00

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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.