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Finding the Third Proportional to 1,407,970.50 and 2,181,129

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Solution

The third proportional to 1,407,970.50 and 2,181,129 is: 3,378,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,970.50 : 2,181,129 = 2,181,129 : x
  2. Step 2: Convert to fraction form
    1,407,970.50/2,181,129 = 2,181,129/x
  3. Step 3: Cross multiply
    1,407,970.50x = 2,181,129 × 2,181,129
  4. Step 4: Simplify right side
    1,407,970.50x = 4,757,323,714,641
  5. Step 5: Solve for x
    x = 4,757,323,714,641/1,407,970.50
  6. Step 6: Final answer
    x = 3,378,851.84

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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.