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Finding the Third Proportional to 427,778 and 929,454

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Solution

The third proportional to 427,778 and 929,454 is: 2,019,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,778 : 929,454 = 929,454 : x
  2. Step 2: Convert to fraction form
    427,778/929,454 = 929,454/x
  3. Step 3: Cross multiply
    427,778x = 929,454 × 929,454
  4. Step 4: Simplify right side
    427,778x = 863,884,738,116
  5. Step 5: Solve for x
    x = 863,884,738,116/427,778
  6. Step 6: Final answer
    x = 2,019,469.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.