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Finding the Third Proportional to 349,929 and 540,351

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Solution

The third proportional to 349,929 and 540,351 is: 834,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,929 : 540,351 = 540,351 : x
  2. Step 2: Convert to fraction form
    349,929/540,351 = 540,351/x
  3. Step 3: Cross multiply
    349,929x = 540,351 × 540,351
  4. Step 4: Simplify right side
    349,929x = 291,979,203,201
  5. Step 5: Solve for x
    x = 291,979,203,201/349,929
  6. Step 6: Final answer
    x = 834,395.56

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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.