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Finding the Third Proportional to 140,811 and 293,271

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Solution

The third proportional to 140,811 and 293,271 is: 610,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,811 : 293,271 = 293,271 : x
  2. Step 2: Convert to fraction form
    140,811/293,271 = 293,271/x
  3. Step 3: Cross multiply
    140,811x = 293,271 × 293,271
  4. Step 4: Simplify right side
    140,811x = 86,007,879,441
  5. Step 5: Solve for x
    x = 86,007,879,441/140,811
  6. Step 6: Final answer
    x = 610,803.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.