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Finding the Third Proportional to 145,890 and 343,485

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Solution

The third proportional to 145,890 and 343,485 is: 808,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,890 : 343,485 = 343,485 : x
  2. Step 2: Convert to fraction form
    145,890/343,485 = 343,485/x
  3. Step 3: Cross multiply
    145,890x = 343,485 × 343,485
  4. Step 4: Simplify right side
    145,890x = 117,981,945,225
  5. Step 5: Solve for x
    x = 117,981,945,225/145,890
  6. Step 6: Final answer
    x = 808,704.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.