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Finding the Third Proportional to 81,769,071 and 179,425,841

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Solution

The third proportional to 81,769,071 and 179,425,841 is: 393,714,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769,071 : 179,425,841 = 179,425,841 : x
  2. Step 2: Convert to fraction form
    81,769,071/179,425,841 = 179,425,841/x
  3. Step 3: Cross multiply
    81,769,071x = 179,425,841 × 179,425,841
  4. Step 4: Simplify right side
    81,769,071x = 32,193,632,418,557,280
  5. Step 5: Solve for x
    x = 32,193,632,418,557,280/81,769,071
  6. Step 6: Final answer
    x = 393,714,053.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.