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Finding the Third Proportional to 159,806 and 355,082

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Solution

The third proportional to 159,806 and 355,082 is: 788,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,806 : 355,082 = 355,082 : x
  2. Step 2: Convert to fraction form
    159,806/355,082 = 355,082/x
  3. Step 3: Cross multiply
    159,806x = 355,082 × 355,082
  4. Step 4: Simplify right side
    159,806x = 126,083,226,724
  5. Step 5: Solve for x
    x = 126,083,226,724/159,806
  6. Step 6: Final answer
    x = 788,976.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.