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Finding the Third Proportional to 82,127,412 and 127,122,797.25

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Solution

The third proportional to 82,127,412 and 127,122,797.25 is: 196,769,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,127,412 : 127,122,797.25 = 127,122,797.25 : x
  2. Step 2: Convert to fraction form
    82,127,412/127,122,797.25 = 127,122,797.25/x
  3. Step 3: Cross multiply
    82,127,412x = 127,122,797.25 × 127,122,797.25
  4. Step 4: Simplify right side
    82,127,412x = 16,160,205,580,664,608
  5. Step 5: Solve for x
    x = 16,160,205,580,664,608/82,127,412
  6. Step 6: Final answer
    x = 196,769,935.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.