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Finding the Third Proportional to 78,608,338.31 and 165,348,621

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Solution

The third proportional to 78,608,338.31 and 165,348,621 is: 347,802,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,608,338.31 : 165,348,621 = 165,348,621 : x
  2. Step 2: Convert to fraction form
    78,608,338.31/165,348,621 = 165,348,621/x
  3. Step 3: Cross multiply
    78,608,338.31x = 165,348,621 × 165,348,621
  4. Step 4: Simplify right side
    78,608,338.31x = 27,340,166,466,601,640
  5. Step 5: Solve for x
    x = 27,340,166,466,601,640/78,608,338.31
  6. Step 6: Final answer
    x = 347,802,371.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.