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Finding the Third Proportional to 2,255,767,152 and 3,448,486,800

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Solution

The third proportional to 2,255,767,152 and 3,448,486,800 is: 5,271,847,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,767,152 : 3,448,486,800 = 3,448,486,800 : x
  2. Step 2: Convert to fraction form
    2,255,767,152/3,448,486,800 = 3,448,486,800/x
  3. Step 3: Cross multiply
    2,255,767,152x = 3,448,486,800 × 3,448,486,800
  4. Step 4: Simplify right side
    2,255,767,152x = 11,892,061,209,774,239,744
  5. Step 5: Solve for x
    x = 11,892,061,209,774,239,744/2,255,767,152
  6. Step 6: Final answer
    x = 5,271,847,849.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.