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Finding the Third Proportional to 616,869 and 920,187

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Solution

The third proportional to 616,869 and 920,187 is: 1,372,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,869 : 920,187 = 920,187 : x
  2. Step 2: Convert to fraction form
    616,869/920,187 = 920,187/x
  3. Step 3: Cross multiply
    616,869x = 920,187 × 920,187
  4. Step 4: Simplify right side
    616,869x = 846,744,114,969
  5. Step 5: Solve for x
    x = 846,744,114,969/616,869
  6. Step 6: Final answer
    x = 1,372,648.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.