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Finding the Third Proportional to 462,443,600 and 1,091,284,142

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Solution

The third proportional to 462,443,600 and 1,091,284,142 is: 2,575,235,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,443,600 : 1,091,284,142 = 1,091,284,142 : x
  2. Step 2: Convert to fraction form
    462,443,600/1,091,284,142 = 1,091,284,142/x
  3. Step 3: Cross multiply
    462,443,600x = 1,091,284,142 × 1,091,284,142
  4. Step 4: Simplify right side
    462,443,600x = 1,190,901,078,580,676,096
  5. Step 5: Solve for x
    x = 1,190,901,078,580,676,096/462,443,600
  6. Step 6: Final answer
    x = 2,575,235,290.49

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