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Finding the Third Proportional to 172,998,216 and 378,857,196

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Solution

The third proportional to 172,998,216 and 378,857,196 is: 829,677,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,998,216 : 378,857,196 = 378,857,196 : x
  2. Step 2: Convert to fraction form
    172,998,216/378,857,196 = 378,857,196/x
  3. Step 3: Cross multiply
    172,998,216x = 378,857,196 × 378,857,196
  4. Step 4: Simplify right side
    172,998,216x = 143,532,774,960,982,416
  5. Step 5: Solve for x
    x = 143,532,774,960,982,416/172,998,216
  6. Step 6: Final answer
    x = 829,677,775.18

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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.