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Finding the Third Proportional to 129,661,278 and 283,017,804

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Solution

The third proportional to 129,661,278 and 283,017,804 is: 617,756,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,661,278 : 283,017,804 = 283,017,804 : x
  2. Step 2: Convert to fraction form
    129,661,278/283,017,804 = 283,017,804/x
  3. Step 3: Cross multiply
    129,661,278x = 283,017,804 × 283,017,804
  4. Step 4: Simplify right side
    129,661,278x = 80,099,077,380,982,416
  5. Step 5: Solve for x
    x = 80,099,077,380,982,416/129,661,278
  6. Step 6: Final answer
    x = 617,756,346.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.