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Finding the Third Proportional to 616,864 and 920,161

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Solution

The third proportional to 616,864 and 920,161 is: 1,372,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,864 : 920,161 = 920,161 : x
  2. Step 2: Convert to fraction form
    616,864/920,161 = 920,161/x
  3. Step 3: Cross multiply
    616,864x = 920,161 × 920,161
  4. Step 4: Simplify right side
    616,864x = 846,696,265,921
  5. Step 5: Solve for x
    x = 846,696,265,921/616,864
  6. Step 6: Final answer
    x = 1,372,581.75

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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.