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Finding the Third Proportional to 427,157 and 939,580

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Solution

The third proportional to 427,157 and 939,580 is: 2,066,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,157 : 939,580 = 939,580 : x
  2. Step 2: Convert to fraction form
    427,157/939,580 = 939,580/x
  3. Step 3: Cross multiply
    427,157x = 939,580 × 939,580
  4. Step 4: Simplify right side
    427,157x = 882,810,576,400
  5. Step 5: Solve for x
    x = 882,810,576,400/427,157
  6. Step 6: Final answer
    x = 2,066,712.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.