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Finding the Third Proportional to 427,812 and 910,680

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Solution

The third proportional to 427,812 and 910,680 is: 1,938,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,812 : 910,680 = 910,680 : x
  2. Step 2: Convert to fraction form
    427,812/910,680 = 910,680/x
  3. Step 3: Cross multiply
    427,812x = 910,680 × 910,680
  4. Step 4: Simplify right side
    427,812x = 829,338,062,400
  5. Step 5: Solve for x
    x = 829,338,062,400/427,812
  6. Step 6: Final answer
    x = 1,938,557.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.