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Finding the Third Proportional to 343,444 and 505,220

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Solution

The third proportional to 343,444 and 505,220 is: 743,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,444 : 505,220 = 505,220 : x
  2. Step 2: Convert to fraction form
    343,444/505,220 = 505,220/x
  3. Step 3: Cross multiply
    343,444x = 505,220 × 505,220
  4. Step 4: Simplify right side
    343,444x = 255,247,248,400
  5. Step 5: Solve for x
    x = 255,247,248,400/343,444
  6. Step 6: Final answer
    x = 743,199.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.