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Finding the Third Proportional to 462,443,634 and 1,091,284,191

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Solution

The third proportional to 462,443,634 and 1,091,284,191 is: 2,575,235,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,443,634 : 1,091,284,191 = 1,091,284,191 : x
  2. Step 2: Convert to fraction form
    462,443,634/1,091,284,191 = 1,091,284,191/x
  3. Step 3: Cross multiply
    462,443,634x = 1,091,284,191 × 1,091,284,191
  4. Step 4: Simplify right side
    462,443,634x = 1,190,901,185,526,524,416
  5. Step 5: Solve for x
    x = 1,190,901,185,526,524,416/462,443,634
  6. Step 6: Final answer
    x = 2,575,235,332.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.