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Finding the Third Proportional to 172,287,085 and 378,049,486

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Solution

The third proportional to 172,287,085 and 378,049,486 is: 829,553,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287,085 : 378,049,486 = 378,049,486 : x
  2. Step 2: Convert to fraction form
    172,287,085/378,049,486 = 378,049,486/x
  3. Step 3: Cross multiply
    172,287,085x = 378,049,486 × 378,049,486
  4. Step 4: Simplify right side
    172,287,085x = 142,921,413,864,864,192
  5. Step 5: Solve for x
    x = 142,921,413,864,864,192/172,287,085
  6. Step 6: Final answer
    x = 829,553,845.34

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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.