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Finding the Third Proportional to 128,790.84 and 197,010.14

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Solution

The third proportional to 128,790.84 and 197,010.14 is: 301,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,790.84 : 197,010.14 = 197,010.14 : x
  2. Step 2: Convert to fraction form
    128,790.84/197,010.14 = 197,010.14/x
  3. Step 3: Cross multiply
    128,790.84x = 197,010.14 × 197,010.14
  4. Step 4: Simplify right side
    128,790.84x = 38,812,995,509.08
  5. Step 5: Solve for x
    x = 38,812,995,509.08/128,790.84
  6. Step 6: Final answer
    x = 301,364.56

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