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Finding the Third Proportional to 4,921,890 and 7,703,413.50

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Solution

The third proportional to 4,921,890 and 7,703,413.50 is: 12,056,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921,890 : 7,703,413.50 = 7,703,413.50 : x
  2. Step 2: Convert to fraction form
    4,921,890/7,703,413.50 = 7,703,413.50/x
  3. Step 3: Cross multiply
    4,921,890x = 7,703,413.50 × 7,703,413.50
  4. Step 4: Simplify right side
    4,921,890x = 59,342,579,551,982.25
  5. Step 5: Solve for x
    x = 59,342,579,551,982.25/4,921,890
  6. Step 6: Final answer
    x = 12,056,868.31

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Why These Related Problems?

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