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Finding the Third Proportional to 427,478 and 914,236

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Solution

The third proportional to 427,478 and 914,236 is: 1,955,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,478 : 914,236 = 914,236 : x
  2. Step 2: Convert to fraction form
    427,478/914,236 = 914,236/x
  3. Step 3: Cross multiply
    427,478x = 914,236 × 914,236
  4. Step 4: Simplify right side
    427,478x = 835,827,463,696
  5. Step 5: Solve for x
    x = 835,827,463,696/427,478
  6. Step 6: Final answer
    x = 1,955,252.58

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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.