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Finding the Third Proportional to 81,958,686 and 167,209,642.50

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Solution

The third proportional to 81,958,686 and 167,209,642.50 is: 341,136,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958,686 : 167,209,642.50 = 167,209,642.50 : x
  2. Step 2: Convert to fraction form
    81,958,686/167,209,642.50 = 167,209,642.50/x
  3. Step 3: Cross multiply
    81,958,686x = 167,209,642.50 × 167,209,642.50
  4. Step 4: Simplify right side
    81,958,686x = 27,959,064,544,977,808
  5. Step 5: Solve for x
    x = 27,959,064,544,977,808/81,958,686
  6. Step 6: Final answer
    x = 341,136,076.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.