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Finding the Third Proportional to 193,491,931 and 420,994,263.50

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Solution

The third proportional to 193,491,931 and 420,994,263.50 is: 915,987,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,491,931 : 420,994,263.50 = 420,994,263.50 : x
  2. Step 2: Convert to fraction form
    193,491,931/420,994,263.50 = 420,994,263.50/x
  3. Step 3: Cross multiply
    193,491,931x = 420,994,263.50 × 420,994,263.50
  4. Step 4: Simplify right side
    193,491,931x = 177,236,169,899,907,424
  5. Step 5: Solve for x
    x = 177,236,169,899,907,424/193,491,931
  6. Step 6: Final answer
    x = 915,987,395.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.