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Finding the Third Proportional to 81,398,439 and 174,613,191

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Solution

The third proportional to 81,398,439 and 174,613,191 is: 374,574,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398,439 : 174,613,191 = 174,613,191 : x
  2. Step 2: Convert to fraction form
    81,398,439/174,613,191 = 174,613,191/x
  3. Step 3: Cross multiply
    81,398,439x = 174,613,191 × 174,613,191
  4. Step 4: Simplify right side
    81,398,439x = 30,489,766,471,202,480
  5. Step 5: Solve for x
    x = 30,489,766,471,202,480/81,398,439
  6. Step 6: Final answer
    x = 374,574,338.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.