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Finding the Third Proportional to 189,379,166 and 407,521,540

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Solution

The third proportional to 189,379,166 and 407,521,540 is: 876,938,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,379,166 : 407,521,540 = 407,521,540 : x
  2. Step 2: Convert to fraction form
    189,379,166/407,521,540 = 407,521,540/x
  3. Step 3: Cross multiply
    189,379,166x = 407,521,540 × 407,521,540
  4. Step 4: Simplify right side
    189,379,166x = 166,073,805,563,971,584
  5. Step 5: Solve for x
    x = 166,073,805,563,971,584/189,379,166
  6. Step 6: Final answer
    x = 876,938,097.64

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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.