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Finding the Third Proportional to 938,009 and 1,909,140

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Solution

The third proportional to 938,009 and 1,909,140 is: 3,885,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,009 : 1,909,140 = 1,909,140 : x
  2. Step 2: Convert to fraction form
    938,009/1,909,140 = 1,909,140/x
  3. Step 3: Cross multiply
    938,009x = 1,909,140 × 1,909,140
  4. Step 4: Simplify right side
    938,009x = 3,644,815,539,600
  5. Step 5: Solve for x
    x = 3,644,815,539,600/938,009
  6. Step 6: Final answer
    x = 3,885,693.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.