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Finding the Third Proportional to 66,396,142,125 and 143,393,483,898

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Solution

The third proportional to 66,396,142,125 and 143,393,483,898 is: 309,682,017,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,396,142,125 : 143,393,483,898 = 143,393,483,898 : x
  2. Step 2: Convert to fraction form
    66,396,142,125/143,393,483,898 = 143,393,483,898/x
  3. Step 3: Cross multiply
    66,396,142,125x = 143,393,483,898 × 143,393,483,898
  4. Step 4: Simplify right side
    66,396,142,125x = 20,561,691,224,405,985,722,368
  5. Step 5: Solve for x
    x = 20,561,691,224,405,985,722,368/66,396,142,125
  6. Step 6: Final answer
    x = 309,682,017,152.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.