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Finding the Third Proportional to 421,138,635 and 908,865,171

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Solution

The third proportional to 421,138,635 and 908,865,171 is: 1,961,434,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,138,635 : 908,865,171 = 908,865,171 : x
  2. Step 2: Convert to fraction form
    421,138,635/908,865,171 = 908,865,171/x
  3. Step 3: Cross multiply
    421,138,635x = 908,865,171 × 908,865,171
  4. Step 4: Simplify right side
    421,138,635x = 826,035,899,056,859,264
  5. Step 5: Solve for x
    x = 826,035,899,056,859,264/421,138,635
  6. Step 6: Final answer
    x = 1,961,434,621.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.