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Finding the Third Proportional to 349,698 and 540,040.50

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Solution

The third proportional to 349,698 and 540,040.50 is: 833,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,698 : 540,040.50 = 540,040.50 : x
  2. Step 2: Convert to fraction form
    349,698/540,040.50 = 540,040.50/x
  3. Step 3: Cross multiply
    349,698x = 540,040.50 × 540,040.50
  4. Step 4: Simplify right side
    349,698x = 291,643,741,640.25
  5. Step 5: Solve for x
    x = 291,643,741,640.25/349,698
  6. Step 6: Final answer
    x = 833,987.45

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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.