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Finding the Third Proportional to 314,524,540.50 and 492,321,100.50

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Solution

The third proportional to 314,524,540.50 and 492,321,100.50 is: 770,623,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,524,540.50 : 492,321,100.50 = 492,321,100.50 : x
  2. Step 2: Convert to fraction form
    314,524,540.50/492,321,100.50 = 492,321,100.50/x
  3. Step 3: Cross multiply
    314,524,540.50x = 492,321,100.50 × 492,321,100.50
  4. Step 4: Simplify right side
    314,524,540.50x = 242,380,065,997,531,104
  5. Step 5: Solve for x
    x = 242,380,065,997,531,104/314,524,540.50
  6. Step 6: Final answer
    x = 770,623,702.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.