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Finding the Third Proportional to 295,444 and 644,343

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Solution

The third proportional to 295,444 and 644,343 is: 1,405,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,444 : 644,343 = 644,343 : x
  2. Step 2: Convert to fraction form
    295,444/644,343 = 644,343/x
  3. Step 3: Cross multiply
    295,444x = 644,343 × 644,343
  4. Step 4: Simplify right side
    295,444x = 415,177,901,649
  5. Step 5: Solve for x
    x = 415,177,901,649/295,444
  6. Step 6: Final answer
    x = 1,405,267.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.