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Finding the Third Proportional to 83,410,520 and 172,620,968

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Solution

The third proportional to 83,410,520 and 172,620,968 is: 357,245,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,410,520 : 172,620,968 = 172,620,968 : x
  2. Step 2: Convert to fraction form
    83,410,520/172,620,968 = 172,620,968/x
  3. Step 3: Cross multiply
    83,410,520x = 172,620,968 × 172,620,968
  4. Step 4: Simplify right side
    83,410,520x = 29,797,998,593,257,024
  5. Step 5: Solve for x
    x = 29,797,998,593,257,024/83,410,520
  6. Step 6: Final answer
    x = 357,245,088.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.