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Finding the Third Proportional to 139,642,629.75 and 296,307,072

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Solution

The third proportional to 139,642,629.75 and 296,307,072 is: 628,732,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,642,629.75 : 296,307,072 = 296,307,072 : x
  2. Step 2: Convert to fraction form
    139,642,629.75/296,307,072 = 296,307,072/x
  3. Step 3: Cross multiply
    139,642,629.75x = 296,307,072 × 296,307,072
  4. Step 4: Simplify right side
    139,642,629.75x = 87,797,880,917,213,184
  5. Step 5: Solve for x
    x = 87,797,880,917,213,184/139,642,629.75
  6. Step 6: Final answer
    x = 628,732,651.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.