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Finding the Third Proportional to 166,397,431 and 355,054,486

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Solution

The third proportional to 166,397,431 and 355,054,486 is: 757,605,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,397,431 : 355,054,486 = 355,054,486 : x
  2. Step 2: Convert to fraction form
    166,397,431/355,054,486 = 355,054,486/x
  3. Step 3: Cross multiply
    166,397,431x = 355,054,486 × 355,054,486
  4. Step 4: Simplify right side
    166,397,431x = 126,063,688,028,724,192
  5. Step 5: Solve for x
    x = 126,063,688,028,724,192/166,397,431
  6. Step 6: Final answer
    x = 757,605,975.47

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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.