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Finding the Third Proportional to 128,784.94 and 197,002.13

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Solution

The third proportional to 128,784.94 and 197,002.13 is: 301,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,784.94 : 197,002.13 = 197,002.13 : x
  2. Step 2: Convert to fraction form
    128,784.94/197,002.13 = 197,002.13/x
  3. Step 3: Cross multiply
    128,784.94x = 197,002.13 × 197,002.13
  4. Step 4: Simplify right side
    128,784.94x = 38,809,837,254.52
  5. Step 5: Solve for x
    x = 38,809,837,254.52/128,784.94
  6. Step 6: Final answer
    x = 301,353.85

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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.