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Finding the Third Proportional to 2,190,888,794 and 3,393,634,380

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Solution

The third proportional to 2,190,888,794 and 3,393,634,380 is: 5,256,658,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,888,794 : 3,393,634,380 = 3,393,634,380 : x
  2. Step 2: Convert to fraction form
    2,190,888,794/3,393,634,380 = 3,393,634,380/x
  3. Step 3: Cross multiply
    2,190,888,794x = 3,393,634,380 × 3,393,634,380
  4. Step 4: Simplify right side
    2,190,888,794x = 11,516,754,305,117,984,768
  5. Step 5: Solve for x
    x = 11,516,754,305,117,984,768/2,190,888,794
  6. Step 6: Final answer
    x = 5,256,658,547.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.