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Finding the Third Proportional to 172,300,155 and 368,819,661

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Solution

The third proportional to 172,300,155 and 368,819,661 is: 789,482,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,300,155 : 368,819,661 = 368,819,661 : x
  2. Step 2: Convert to fraction form
    172,300,155/368,819,661 = 368,819,661/x
  3. Step 3: Cross multiply
    172,300,155x = 368,819,661 × 368,819,661
  4. Step 4: Simplify right side
    172,300,155x = 136,027,942,340,154,928
  5. Step 5: Solve for x
    x = 136,027,942,340,154,928/172,300,155
  6. Step 6: Final answer
    x = 789,482,414.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.