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Finding the Third Proportional to 128,277,006.75 and 280,075,745.25

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Solution

The third proportional to 128,277,006.75 and 280,075,745.25 is: 611,508,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,277,006.75 : 280,075,745.25 = 280,075,745.25 : x
  2. Step 2: Convert to fraction form
    128,277,006.75/280,075,745.25 = 280,075,745.25/x
  3. Step 3: Cross multiply
    128,277,006.75x = 280,075,745.25 × 280,075,745.25
  4. Step 4: Simplify right side
    128,277,006.75x = 78,442,423,077,342,896
  5. Step 5: Solve for x
    x = 78,442,423,077,342,896/128,277,006.75
  6. Step 6: Final answer
    x = 611,508,056.39

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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.