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Finding the Third Proportional to 543,257,180 and 1,176,765,061

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Solution

The third proportional to 543,257,180 and 1,176,765,061 is: 2,549,024,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,257,180 : 1,176,765,061 = 1,176,765,061 : x
  2. Step 2: Convert to fraction form
    543,257,180/1,176,765,061 = 1,176,765,061/x
  3. Step 3: Cross multiply
    543,257,180x = 1,176,765,061 × 1,176,765,061
  4. Step 4: Simplify right side
    543,257,180x = 1,384,776,008,790,333,696
  5. Step 5: Solve for x
    x = 1,384,776,008,790,333,696/543,257,180
  6. Step 6: Final answer
    x = 2,549,024,770.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.