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Finding the Third Proportional to 290,921,012.44 and 646,412,098.78

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Solution

The third proportional to 290,921,012.44 and 646,412,098.78 is: 1,436,295,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,921,012.44 : 646,412,098.78 = 646,412,098.78 : x
  2. Step 2: Convert to fraction form
    290,921,012.44/646,412,098.78 = 646,412,098.78/x
  3. Step 3: Cross multiply
    290,921,012.44x = 646,412,098.78 × 646,412,098.78
  4. Step 4: Simplify right side
    290,921,012.44x = 417,848,601,450,780,480
  5. Step 5: Solve for x
    x = 417,848,601,450,780,480/290,921,012.44
  6. Step 6: Final answer
    x = 1,436,295,707.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.