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Finding the Third Proportional to 172,287,078 and 378,049,471

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Solution

The third proportional to 172,287,078 and 378,049,471 is: 829,553,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287,078 : 378,049,471 = 378,049,471 : x
  2. Step 2: Convert to fraction form
    172,287,078/378,049,471 = 378,049,471/x
  3. Step 3: Cross multiply
    172,287,078x = 378,049,471 × 378,049,471
  4. Step 4: Simplify right side
    172,287,078x = 142,921,402,523,379,840
  5. Step 5: Solve for x
    x = 142,921,402,523,379,840/172,287,078
  6. Step 6: Final answer
    x = 829,553,813.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.