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Finding the Third Proportional to 159,808 and 355,090

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Solution

The third proportional to 159,808 and 355,090 is: 789,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,808 : 355,090 = 355,090 : x
  2. Step 2: Convert to fraction form
    159,808/355,090 = 355,090/x
  3. Step 3: Cross multiply
    159,808x = 355,090 × 355,090
  4. Step 4: Simplify right side
    159,808x = 126,088,908,100
  5. Step 5: Solve for x
    x = 126,088,908,100/159,808
  6. Step 6: Final answer
    x = 789,002.48

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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.