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Finding the Third Proportional to 270,044 and 419,220

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Solution

The third proportional to 270,044 and 419,220 is: 650,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,044 : 419,220 = 419,220 : x
  2. Step 2: Convert to fraction form
    270,044/419,220 = 419,220/x
  3. Step 3: Cross multiply
    270,044x = 419,220 × 419,220
  4. Step 4: Simplify right side
    270,044x = 175,745,408,400
  5. Step 5: Solve for x
    x = 175,745,408,400/270,044
  6. Step 6: Final answer
    x = 650,802.86

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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.