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Finding the Third Proportional to 1,390,218 and 2,149,169

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Solution

The third proportional to 1,390,218 and 2,149,169 is: 3,322,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390,218 : 2,149,169 = 2,149,169 : x
  2. Step 2: Convert to fraction form
    1,390,218/2,149,169 = 2,149,169/x
  3. Step 3: Cross multiply
    1,390,218x = 2,149,169 × 2,149,169
  4. Step 4: Simplify right side
    1,390,218x = 4,618,927,390,561
  5. Step 5: Solve for x
    x = 4,618,927,390,561/1,390,218
  6. Step 6: Final answer
    x = 3,322,448.27

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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.