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Finding the Third Proportional to 349,820 and 540,190

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Solution

The third proportional to 349,820 and 540,190 is: 834,158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,820 : 540,190 = 540,190 : x
  2. Step 2: Convert to fraction form
    349,820/540,190 = 540,190/x
  3. Step 3: Cross multiply
    349,820x = 540,190 × 540,190
  4. Step 4: Simplify right side
    349,820x = 291,805,236,100
  5. Step 5: Solve for x
    x = 291,805,236,100/349,820
  6. Step 6: Final answer
    x = 834,158.24

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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.