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Finding the Third Proportional to 178,745,009.06 and 384,879,970.69

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Solution

The third proportional to 178,745,009.06 and 384,879,970.69 is: 828,736,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,745,009.06 : 384,879,970.69 = 384,879,970.69 : x
  2. Step 2: Convert to fraction form
    178,745,009.06/384,879,970.69 = 384,879,970.69/x
  3. Step 3: Cross multiply
    178,745,009.06x = 384,879,970.69 × 384,879,970.69
  4. Step 4: Simplify right side
    178,745,009.06x = 148,132,591,836,410,848
  5. Step 5: Solve for x
    x = 148,132,591,836,410,848/178,745,009.06
  6. Step 6: Final answer
    x = 828,736,939.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.