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Finding the Third Proportional to 128,277,014 and 280,075,760

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Solution

The third proportional to 128,277,014 and 280,075,760 is: 611,508,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,277,014 : 280,075,760 = 280,075,760 : x
  2. Step 2: Convert to fraction form
    128,277,014/280,075,760 = 280,075,760/x
  3. Step 3: Cross multiply
    128,277,014x = 280,075,760 × 280,075,760
  4. Step 4: Simplify right side
    128,277,014x = 78,442,431,339,577,600
  5. Step 5: Solve for x
    x = 78,442,431,339,577,600/128,277,014
  6. Step 6: Final answer
    x = 611,508,086.24

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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.