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Finding the Third Proportional to 634,573,611 and 1,345,331,286

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Solution

The third proportional to 634,573,611 and 1,345,331,286 is: 2,852,177,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,573,611 : 1,345,331,286 = 1,345,331,286 : x
  2. Step 2: Convert to fraction form
    634,573,611/1,345,331,286 = 1,345,331,286/x
  3. Step 3: Cross multiply
    634,573,611x = 1,345,331,286 × 1,345,331,286
  4. Step 4: Simplify right side
    634,573,611x = 1,809,916,269,090,413,824
  5. Step 5: Solve for x
    x = 1,809,916,269,090,413,824/634,573,611
  6. Step 6: Final answer
    x = 2,852,177,017.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.