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Finding the Third Proportional to 312,562,530 and 680,669,028

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Solution

The third proportional to 312,562,530 and 680,669,028 is: 1,482,296,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,562,530 : 680,669,028 = 680,669,028 : x
  2. Step 2: Convert to fraction form
    312,562,530/680,669,028 = 680,669,028/x
  3. Step 3: Cross multiply
    312,562,530x = 680,669,028 × 680,669,028
  4. Step 4: Simplify right side
    312,562,530x = 463,310,325,678,464,768
  5. Step 5: Solve for x
    x = 463,310,325,678,464,768/312,562,530
  6. Step 6: Final answer
    x = 1,482,296,440.58

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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.