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Finding the Third Proportional to 193,489,344 and 420,989,616

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Solution

The third proportional to 193,489,344 and 420,989,616 is: 915,979,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,489,344 : 420,989,616 = 420,989,616 : x
  2. Step 2: Convert to fraction form
    193,489,344/420,989,616 = 420,989,616/x
  3. Step 3: Cross multiply
    193,489,344x = 420,989,616 × 420,989,616
  4. Step 4: Simplify right side
    193,489,344x = 177,232,256,779,827,456
  5. Step 5: Solve for x
    x = 177,232,256,779,827,456/193,489,344
  6. Step 6: Final answer
    x = 915,979,418.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.