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Finding the Third Proportional to 1,374,907 and 2,020,221

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Solution

The third proportional to 1,374,907 and 2,020,221 is: 2,968,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,907 : 2,020,221 = 2,020,221 : x
  2. Step 2: Convert to fraction form
    1,374,907/2,020,221 = 2,020,221/x
  3. Step 3: Cross multiply
    1,374,907x = 2,020,221 × 2,020,221
  4. Step 4: Simplify right side
    1,374,907x = 4,081,292,888,841
  5. Step 5: Solve for x
    x = 4,081,292,888,841/1,374,907
  6. Step 6: Final answer
    x = 2,968,413.78

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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.