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Finding the Third Proportional to 298,158,407 and 637,769,205

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Solution

The third proportional to 298,158,407 and 637,769,205 is: 1,364,206,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,158,407 : 637,769,205 = 637,769,205 : x
  2. Step 2: Convert to fraction form
    298,158,407/637,769,205 = 637,769,205/x
  3. Step 3: Cross multiply
    298,158,407x = 637,769,205 × 637,769,205
  4. Step 4: Simplify right side
    298,158,407x = 406,749,558,846,332,032
  5. Step 5: Solve for x
    x = 406,749,558,846,332,032/298,158,407
  6. Step 6: Final answer
    x = 1,364,206,238.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.