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Finding the Third Proportional to 972,229,878 and 2,128,869,756

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Solution

The third proportional to 972,229,878 and 2,128,869,756 is: 4,661,537,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,229,878 : 2,128,869,756 = 2,128,869,756 : x
  2. Step 2: Convert to fraction form
    972,229,878/2,128,869,756 = 2,128,869,756/x
  3. Step 3: Cross multiply
    972,229,878x = 2,128,869,756 × 2,128,869,756
  4. Step 4: Simplify right side
    972,229,878x = 4,532,086,438,011,499,520
  5. Step 5: Solve for x
    x = 4,532,086,438,011,499,520/972,229,878
  6. Step 6: Final answer
    x = 4,661,537,914.61

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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.