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Finding the Third Proportional to 650,578,485 and 991,121,689

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Solution

The third proportional to 650,578,485 and 991,121,689 is: 1,509,921,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,578,485 : 991,121,689 = 991,121,689 : x
  2. Step 2: Convert to fraction form
    650,578,485/991,121,689 = 991,121,689/x
  3. Step 3: Cross multiply
    650,578,485x = 991,121,689 × 991,121,689
  4. Step 4: Simplify right side
    650,578,485x = 982,322,202,406,212,736
  5. Step 5: Solve for x
    x = 982,322,202,406,212,736/650,578,485
  6. Step 6: Final answer
    x = 1,509,921,131.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.