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Finding the Third Proportional to 447,399,107.09 and 972,241,208.35

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Solution

The third proportional to 447,399,107.09 and 972,241,208.35 is: 2,112,773,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,399,107.09 : 972,241,208.35 = 972,241,208.35 : x
  2. Step 2: Convert to fraction form
    447,399,107.09/972,241,208.35 = 972,241,208.35/x
  3. Step 3: Cross multiply
    447,399,107.09x = 972,241,208.35 × 972,241,208.35
  4. Step 4: Simplify right side
    447,399,107.09x = 945,252,967,213,168,128
  5. Step 5: Solve for x
    x = 945,252,967,213,168,128/447,399,107.09
  6. Step 6: Final answer
    x = 2,112,773,477.25

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1.5x scale

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.