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Finding the Third Proportional to 427,142 and 939,550

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Solution

The third proportional to 427,142 and 939,550 is: 2,066,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,142 : 939,550 = 939,550 : x
  2. Step 2: Convert to fraction form
    427,142/939,550 = 939,550/x
  3. Step 3: Cross multiply
    427,142x = 939,550 × 939,550
  4. Step 4: Simplify right side
    427,142x = 882,754,202,500
  5. Step 5: Solve for x
    x = 882,754,202,500/427,142
  6. Step 6: Final answer
    x = 2,066,652.78

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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.