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Finding the Third Proportional to 208,663,578,321 and 451,975,988,883

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Solution

The third proportional to 208,663,578,321 and 451,975,988,883 is: 979,003,121,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,663,578,321 : 451,975,988,883 = 451,975,988,883 : x
  2. Step 2: Convert to fraction form
    208,663,578,321/451,975,988,883 = 451,975,988,883/x
  3. Step 3: Cross multiply
    208,663,578,321x = 451,975,988,883 × 451,975,988,883
  4. Step 4: Simplify right side
    208,663,578,321x = 204,282,294,526,765,732,724,736
  5. Step 5: Solve for x
    x = 204,282,294,526,765,732,724,736/208,663,578,321
  6. Step 6: Final answer
    x = 979,003,121,534.25

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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.