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Finding the Third Proportional to 128,784 and 197,003

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Solution

The third proportional to 128,784 and 197,003 is: 301,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,784 : 197,003 = 197,003 : x
  2. Step 2: Convert to fraction form
    128,784/197,003 = 197,003/x
  3. Step 3: Cross multiply
    128,784x = 197,003 × 197,003
  4. Step 4: Simplify right side
    128,784x = 38,810,182,009
  5. Step 5: Solve for x
    x = 38,810,182,009/128,784
  6. Step 6: Final answer
    x = 301,358.72

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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.