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Finding the Third Proportional to 101,705,573.50 and 220,749,413.50

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Solution

The third proportional to 101,705,573.50 and 220,749,413.50 is: 479,131,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705,573.50 : 220,749,413.50 = 220,749,413.50 : x
  2. Step 2: Convert to fraction form
    101,705,573.50/220,749,413.50 = 220,749,413.50/x
  3. Step 3: Cross multiply
    101,705,573.50x = 220,749,413.50 × 220,749,413.50
  4. Step 4: Simplify right side
    101,705,573.50x = 48,730,303,560,593,984
  5. Step 5: Solve for x
    x = 48,730,303,560,593,984/101,705,573.50
  6. Step 6: Final answer
    x = 479,131,102.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.