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Finding the Third Proportional to 427,816.50 and 910,689

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Solution

The third proportional to 427,816.50 and 910,689 is: 1,938,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,816.50 : 910,689 = 910,689 : x
  2. Step 2: Convert to fraction form
    427,816.50/910,689 = 910,689/x
  3. Step 3: Cross multiply
    427,816.50x = 910,689 × 910,689
  4. Step 4: Simplify right side
    427,816.50x = 829,354,454,721
  5. Step 5: Solve for x
    x = 829,354,454,721/427,816.50
  6. Step 6: Final answer
    x = 1,938,575.19

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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.