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Finding the Third Proportional to 34,193,820 and 69,782,940

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Solution

The third proportional to 34,193,820 and 69,782,940 is: 142,413,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193,820 : 69,782,940 = 69,782,940 : x
  2. Step 2: Convert to fraction form
    34,193,820/69,782,940 = 69,782,940/x
  3. Step 3: Cross multiply
    34,193,820x = 69,782,940 × 69,782,940
  4. Step 4: Simplify right side
    34,193,820x = 4,869,658,715,043,600
  5. Step 5: Solve for x
    x = 4,869,658,715,043,600/34,193,820
  6. Step 6: Final answer
    x = 142,413,416.08

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.