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Finding the Third Proportional to 427,881 and 916,485

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Solution

The third proportional to 427,881 and 916,485 is: 1,963,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,881 : 916,485 = 916,485 : x
  2. Step 2: Convert to fraction form
    427,881/916,485 = 916,485/x
  3. Step 3: Cross multiply
    427,881x = 916,485 × 916,485
  4. Step 4: Simplify right side
    427,881x = 839,944,755,225
  5. Step 5: Solve for x
    x = 839,944,755,225/427,881
  6. Step 6: Final answer
    x = 1,963,033.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.