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Finding the Third Proportional to 81,958,692 and 167,209,654.50

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Solution

The third proportional to 81,958,692 and 167,209,654.50 is: 341,136,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958,692 : 167,209,654.50 = 167,209,654.50 : x
  2. Step 2: Convert to fraction form
    81,958,692/167,209,654.50 = 167,209,654.50/x
  3. Step 3: Cross multiply
    81,958,692x = 167,209,654.50 × 167,209,654.50
  4. Step 4: Simplify right side
    81,958,692x = 27,959,068,558,009,372
  5. Step 5: Solve for x
    x = 27,959,068,558,009,372/81,958,692
  6. Step 6: Final answer
    x = 341,136,100.10

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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.