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Finding the Third Proportional to 181,139,369 and 397,864,306

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Solution

The third proportional to 181,139,369 and 397,864,306 is: 873,890,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,139,369 : 397,864,306 = 397,864,306 : x
  2. Step 2: Convert to fraction form
    181,139,369/397,864,306 = 397,864,306/x
  3. Step 3: Cross multiply
    181,139,369x = 397,864,306 × 397,864,306
  4. Step 4: Simplify right side
    181,139,369x = 158,296,005,988,861,632
  5. Step 5: Solve for x
    x = 158,296,005,988,861,632/181,139,369
  6. Step 6: Final answer
    x = 873,890,678.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.