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Finding the Third Proportional to 100,142,736 and 211,045,513.50

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Solution

The third proportional to 100,142,736 and 211,045,513.50 is: 444,767,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142,736 : 211,045,513.50 = 211,045,513.50 : x
  2. Step 2: Convert to fraction form
    100,142,736/211,045,513.50 = 211,045,513.50/x
  3. Step 3: Cross multiply
    100,142,736x = 211,045,513.50 × 211,045,513.50
  4. Step 4: Simplify right side
    100,142,736x = 44,540,208,768,478,680
  5. Step 5: Solve for x
    x = 44,540,208,768,478,680/100,142,736
  6. Step 6: Final answer
    x = 444,767,244.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.