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Finding the Third Proportional to 79,978,891,461 and 171,994,331,081

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Solution

The third proportional to 79,978,891,461 and 171,994,331,081 is: 369,873,217,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,978,891,461 : 171,994,331,081 = 171,994,331,081 : x
  2. Step 2: Convert to fraction form
    79,978,891,461/171,994,331,081 = 171,994,331,081/x
  3. Step 3: Cross multiply
    79,978,891,461x = 171,994,331,081 × 171,994,331,081
  4. Step 4: Simplify right side
    79,978,891,461x = 29,582,049,924,000,641,974,272
  5. Step 5: Solve for x
    x = 29,582,049,924,000,641,974,272/79,978,891,461
  6. Step 6: Final answer
    x = 369,873,217,590.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.