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Finding the Third Proportional to 12,321,240 and 19,153,809

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Solution

The third proportional to 12,321,240 and 19,153,809 is: 29,775,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321,240 : 19,153,809 = 19,153,809 : x
  2. Step 2: Convert to fraction form
    12,321,240/19,153,809 = 19,153,809/x
  3. Step 3: Cross multiply
    12,321,240x = 19,153,809 × 19,153,809
  4. Step 4: Simplify right side
    12,321,240x = 366,868,399,208,481
  5. Step 5: Solve for x
    x = 366,868,399,208,481/12,321,240
  6. Step 6: Final answer
    x = 29,775,282.29

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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.