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Finding the Third Proportional to 199,073,978.44 and 309,092,167.69

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Solution

The third proportional to 199,073,978.44 and 309,092,167.69 is: 479,911,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,073,978.44 : 309,092,167.69 = 309,092,167.69 : x
  2. Step 2: Convert to fraction form
    199,073,978.44/309,092,167.69 = 309,092,167.69/x
  3. Step 3: Cross multiply
    199,073,978.44x = 309,092,167.69 × 309,092,167.69
  4. Step 4: Simplify right side
    199,073,978.44x = 95,537,968,125,757,616
  5. Step 5: Solve for x
    x = 95,537,968,125,757,616/199,073,978.44
  6. Step 6: Final answer
    x = 479,911,884.39

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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.