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Finding the Third Proportional to 349,220 and 540,929

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Solution

The third proportional to 349,220 and 540,929 is: 837,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,220 : 540,929 = 540,929 : x
  2. Step 2: Convert to fraction form
    349,220/540,929 = 540,929/x
  3. Step 3: Cross multiply
    349,220x = 540,929 × 540,929
  4. Step 4: Simplify right side
    349,220x = 292,604,183,041
  5. Step 5: Solve for x
    x = 292,604,183,041/349,220
  6. Step 6: Final answer
    x = 837,879.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.