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Finding the Third Proportional to 368,828,471 and 560,795,014.50

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Solution

The third proportional to 368,828,471 and 560,795,014.50 is: 852,675,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,828,471 : 560,795,014.50 = 560,795,014.50 : x
  2. Step 2: Convert to fraction form
    368,828,471/560,795,014.50 = 560,795,014.50/x
  3. Step 3: Cross multiply
    368,828,471x = 560,795,014.50 × 560,795,014.50
  4. Step 4: Simplify right side
    368,828,471x = 314,491,048,288,055,232
  5. Step 5: Solve for x
    x = 314,491,048,288,055,232/368,828,471
  6. Step 6: Final answer
    x = 852,675,628.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.