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Finding the Third Proportional to 178,159,678 and 372,608,942

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Solution

The third proportional to 178,159,678 and 372,608,942 is: 779,286,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,159,678 : 372,608,942 = 372,608,942 : x
  2. Step 2: Convert to fraction form
    178,159,678/372,608,942 = 372,608,942/x
  3. Step 3: Cross multiply
    178,159,678x = 372,608,942 × 372,608,942
  4. Step 4: Simplify right side
    178,159,678x = 138,837,423,658,359,360
  5. Step 5: Solve for x
    x = 138,837,423,658,359,360/178,159,678
  6. Step 6: Final answer
    x = 779,286,453.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.