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Finding the Third Proportional to 99,804,296 and 218,422,806

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Solution

The third proportional to 99,804,296 and 218,422,806 is: 478,020,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,804,296 : 218,422,806 = 218,422,806 : x
  2. Step 2: Convert to fraction form
    99,804,296/218,422,806 = 218,422,806/x
  3. Step 3: Cross multiply
    99,804,296x = 218,422,806 × 218,422,806
  4. Step 4: Simplify right side
    99,804,296x = 47,708,522,180,913,632
  5. Step 5: Solve for x
    x = 47,708,522,180,913,632/99,804,296
  6. Step 6: Final answer
    x = 478,020,727.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.