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Finding the Third Proportional to 172,463,435 and 258,631,810

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Solution

The third proportional to 172,463,435 and 258,631,810 is: 387,852,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,463,435 : 258,631,810 = 258,631,810 : x
  2. Step 2: Convert to fraction form
    172,463,435/258,631,810 = 258,631,810/x
  3. Step 3: Cross multiply
    172,463,435x = 258,631,810 × 258,631,810
  4. Step 4: Simplify right side
    172,463,435x = 66,890,413,143,876,096
  5. Step 5: Solve for x
    x = 66,890,413,143,876,096/172,463,435
  6. Step 6: Final answer
    x = 387,852,724.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.