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Finding the Third Proportional to 103,456,644 and 172,420,794

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Solution

The third proportional to 103,456,644 and 172,420,794 is: 287,356,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,456,644 : 172,420,794 = 172,420,794 : x
  2. Step 2: Convert to fraction form
    103,456,644/172,420,794 = 172,420,794/x
  3. Step 3: Cross multiply
    103,456,644x = 172,420,794 × 172,420,794
  4. Step 4: Simplify right side
    103,456,644x = 29,728,930,203,590,436
  5. Step 5: Solve for x
    x = 29,728,930,203,590,436/103,456,644
  6. Step 6: Final answer
    x = 287,356,413.80

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.