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Finding the Third Proportional to 145,290,032 and 309,976,847

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Solution

The third proportional to 145,290,032 and 309,976,847 is: 661,336,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,290,032 : 309,976,847 = 309,976,847 : x
  2. Step 2: Convert to fraction form
    145,290,032/309,976,847 = 309,976,847/x
  3. Step 3: Cross multiply
    145,290,032x = 309,976,847 × 309,976,847
  4. Step 4: Simplify right side
    145,290,032x = 96,085,645,676,061,408
  5. Step 5: Solve for x
    x = 96,085,645,676,061,408/145,290,032
  6. Step 6: Final answer
    x = 661,336,805.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.