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Finding the Third Proportional to 642,879,608 and 1,395,354,160

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Solution

The third proportional to 642,879,608 and 1,395,354,160 is: 3,028,581,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,879,608 : 1,395,354,160 = 1,395,354,160 : x
  2. Step 2: Convert to fraction form
    642,879,608/1,395,354,160 = 1,395,354,160/x
  3. Step 3: Cross multiply
    642,879,608x = 1,395,354,160 × 1,395,354,160
  4. Step 4: Simplify right side
    642,879,608x = 1,947,013,231,829,305,600
  5. Step 5: Solve for x
    x = 1,947,013,231,829,305,600/642,879,608
  6. Step 6: Final answer
    x = 3,028,581,413.38

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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.