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Finding the Third Proportional to 77,284,878 and 166,676,296.50

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Solution

The third proportional to 77,284,878 and 166,676,296.50 is: 359,462,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,878 : 166,676,296.50 = 166,676,296.50 : x
  2. Step 2: Convert to fraction form
    77,284,878/166,676,296.50 = 166,676,296.50/x
  3. Step 3: Cross multiply
    77,284,878x = 166,676,296.50 × 166,676,296.50
  4. Step 4: Simplify right side
    77,284,878x = 27,780,987,814,955,912
  5. Step 5: Solve for x
    x = 27,780,987,814,955,912/77,284,878
  6. Step 6: Final answer
    x = 359,462,142.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.