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Finding the Third Proportional to 407,718 and 921,138

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Solution

The third proportional to 407,718 and 921,138 is: 2,081,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,718 : 921,138 = 921,138 : x
  2. Step 2: Convert to fraction form
    407,718/921,138 = 921,138/x
  3. Step 3: Cross multiply
    407,718x = 921,138 × 921,138
  4. Step 4: Simplify right side
    407,718x = 848,495,215,044
  5. Step 5: Solve for x
    x = 848,495,215,044/407,718
  6. Step 6: Final answer
    x = 2,081,083.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.