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Finding the Third Proportional to 427,491 and 903,258

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Solution

The third proportional to 427,491 and 903,258 is: 1,908,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,491 : 903,258 = 903,258 : x
  2. Step 2: Convert to fraction form
    427,491/903,258 = 903,258/x
  3. Step 3: Cross multiply
    427,491x = 903,258 × 903,258
  4. Step 4: Simplify right side
    427,491x = 815,875,014,564
  5. Step 5: Solve for x
    x = 815,875,014,564/427,491
  6. Step 6: Final answer
    x = 1,908,519.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.