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Finding the Third Proportional to 537,227,940 and 1,169,040,396

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Solution

The third proportional to 537,227,940 and 1,169,040,396 is: 2,543,902,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,227,940 : 1,169,040,396 = 1,169,040,396 : x
  2. Step 2: Convert to fraction form
    537,227,940/1,169,040,396 = 1,169,040,396/x
  3. Step 3: Cross multiply
    537,227,940x = 1,169,040,396 × 1,169,040,396
  4. Step 4: Simplify right side
    537,227,940x = 1,366,655,447,479,836,928
  5. Step 5: Solve for x
    x = 1,366,655,447,479,836,928/537,227,940
  6. Step 6: Final answer
    x = 2,543,902,402.92

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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.