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Finding the Third Proportional to 178,745,008.50 and 384,879,969.56

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Solution

The third proportional to 178,745,008.50 and 384,879,969.56 is: 828,736,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,745,008.50 : 384,879,969.56 = 384,879,969.56 : x
  2. Step 2: Convert to fraction form
    178,745,008.50/384,879,969.56 = 384,879,969.56/x
  3. Step 3: Cross multiply
    178,745,008.50x = 384,879,969.56 × 384,879,969.56
  4. Step 4: Simplify right side
    178,745,008.50x = 148,132,590,970,430,912
  5. Step 5: Solve for x
    x = 148,132,590,970,430,912/178,745,008.50
  6. Step 6: Final answer
    x = 828,736,937.68

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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.