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Finding the Third Proportional to 298,544 and 439,008

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Solution

The third proportional to 298,544 and 439,008 is: 645,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,544 : 439,008 = 439,008 : x
  2. Step 2: Convert to fraction form
    298,544/439,008 = 439,008/x
  3. Step 3: Cross multiply
    298,544x = 439,008 × 439,008
  4. Step 4: Simplify right side
    298,544x = 192,728,024,064
  5. Step 5: Solve for x
    x = 192,728,024,064/298,544
  6. Step 6: Final answer
    x = 645,559.86

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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.