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Finding the Third Proportional to 427,182 and 909,580

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Solution

The third proportional to 427,182 and 909,580 is: 1,936,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,182 : 909,580 = 909,580 : x
  2. Step 2: Convert to fraction form
    427,182/909,580 = 909,580/x
  3. Step 3: Cross multiply
    427,182x = 909,580 × 909,580
  4. Step 4: Simplify right side
    427,182x = 827,335,776,400
  5. Step 5: Solve for x
    x = 827,335,776,400/427,182
  6. Step 6: Final answer
    x = 1,936,729.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.