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Finding the Third Proportional to 447,399,209 and 972,241,444

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Solution

The third proportional to 447,399,209 and 972,241,444 is: 2,112,774,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,399,209 : 972,241,444 = 972,241,444 : x
  2. Step 2: Convert to fraction form
    447,399,209/972,241,444 = 972,241,444/x
  3. Step 3: Cross multiply
    447,399,209x = 972,241,444 × 972,241,444
  4. Step 4: Simplify right side
    447,399,209x = 945,253,425,431,205,120
  5. Step 5: Solve for x
    x = 945,253,425,431,205,120/447,399,209
  6. Step 6: Final answer
    x = 2,112,774,020.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.