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Finding the Third Proportional to 128,277,012 and 280,075,755.75

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Solution

The third proportional to 128,277,012 and 280,075,755.75 is: 611,508,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,277,012 : 280,075,755.75 = 280,075,755.75 : x
  2. Step 2: Convert to fraction form
    128,277,012/280,075,755.75 = 280,075,755.75/x
  3. Step 3: Cross multiply
    128,277,012x = 280,075,755.75 × 280,075,755.75
  4. Step 4: Simplify right side
    128,277,012x = 78,442,428,958,933,664
  5. Step 5: Solve for x
    x = 78,442,428,958,933,664/128,277,012
  6. Step 6: Final answer
    x = 611,508,077.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.