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Finding the Third Proportional to 1,670,841 and 3,430,215

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Solution

The third proportional to 1,670,841 and 3,430,215 is: 7,042,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670,841 : 3,430,215 = 3,430,215 : x
  2. Step 2: Convert to fraction form
    1,670,841/3,430,215 = 3,430,215/x
  3. Step 3: Cross multiply
    1,670,841x = 3,430,215 × 3,430,215
  4. Step 4: Simplify right side
    1,670,841x = 11,766,374,946,225
  5. Step 5: Solve for x
    x = 11,766,374,946,225/1,670,841
  6. Step 6: Final answer
    x = 7,042,187.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.