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Finding the Third Proportional to 349,814 and 540,180

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Solution

The third proportional to 349,814 and 540,180 is: 834,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,814 : 540,180 = 540,180 : x
  2. Step 2: Convert to fraction form
    349,814/540,180 = 540,180/x
  3. Step 3: Cross multiply
    349,814x = 540,180 × 540,180
  4. Step 4: Simplify right side
    349,814x = 291,794,432,400
  5. Step 5: Solve for x
    x = 291,794,432,400/349,814
  6. Step 6: Final answer
    x = 834,141.66

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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.