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Finding the Third Proportional to 298,541 and 439,003

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Solution

The third proportional to 298,541 and 439,003 is: 645,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,541 : 439,003 = 439,003 : x
  2. Step 2: Convert to fraction form
    298,541/439,003 = 439,003/x
  3. Step 3: Cross multiply
    298,541x = 439,003 × 439,003
  4. Step 4: Simplify right side
    298,541x = 192,723,634,009
  5. Step 5: Solve for x
    x = 192,723,634,009/298,541
  6. Step 6: Final answer
    x = 645,551.65

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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.