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Finding the Third Proportional to 172,463,448 and 258,631,826

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Solution

The third proportional to 172,463,448 and 258,631,826 is: 387,852,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,463,448 : 258,631,826 = 258,631,826 : x
  2. Step 2: Convert to fraction form
    172,463,448/258,631,826 = 258,631,826/x
  3. Step 3: Cross multiply
    172,463,448x = 258,631,826 × 258,631,826
  4. Step 4: Simplify right side
    172,463,448x = 66,890,421,420,094,272
  5. Step 5: Solve for x
    x = 66,890,421,420,094,272/172,463,448
  6. Step 6: Final answer
    x = 387,852,743.27

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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.