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Finding the Third Proportional to 349,811 and 540,176

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Solution

The third proportional to 349,811 and 540,176 is: 834,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,811 : 540,176 = 540,176 : x
  2. Step 2: Convert to fraction form
    349,811/540,176 = 540,176/x
  3. Step 3: Cross multiply
    349,811x = 540,176 × 540,176
  4. Step 4: Simplify right side
    349,811x = 291,790,110,976
  5. Step 5: Solve for x
    x = 291,790,110,976/349,811
  6. Step 6: Final answer
    x = 834,136.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.