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Finding the Third Proportional to 75,110,874.75 and 160,143,075

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Solution

The third proportional to 75,110,874.75 and 160,143,075 is: 341,439,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,110,874.75 : 160,143,075 = 160,143,075 : x
  2. Step 2: Convert to fraction form
    75,110,874.75/160,143,075 = 160,143,075/x
  3. Step 3: Cross multiply
    75,110,874.75x = 160,143,075 × 160,143,075
  4. Step 4: Simplify right side
    75,110,874.75x = 25,645,804,470,455,624
  5. Step 5: Solve for x
    x = 25,645,804,470,455,624/75,110,874.75
  6. Step 6: Final answer
    x = 341,439,299.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.