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Finding the Third Proportional to 12,844,971 and 21,086,955

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Solution

The third proportional to 12,844,971 and 21,086,955 is: 34,617,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844,971 : 21,086,955 = 21,086,955 : x
  2. Step 2: Convert to fraction form
    12,844,971/21,086,955 = 21,086,955/x
  3. Step 3: Cross multiply
    12,844,971x = 21,086,955 × 21,086,955
  4. Step 4: Simplify right side
    12,844,971x = 444,659,671,172,025
  5. Step 5: Solve for x
    x = 444,659,671,172,025/12,844,971
  6. Step 6: Final answer
    x = 34,617,413.40

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.