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Finding the Third Proportional to 128,826 and 197,082

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Solution

The third proportional to 128,826 and 197,082 is: 301,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,826 : 197,082 = 197,082 : x
  2. Step 2: Convert to fraction form
    128,826/197,082 = 197,082/x
  3. Step 3: Cross multiply
    128,826x = 197,082 × 197,082
  4. Step 4: Simplify right side
    128,826x = 38,841,314,724
  5. Step 5: Solve for x
    x = 38,841,314,724/128,826
  6. Step 6: Final answer
    x = 301,502.14

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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.