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Finding the Third Proportional to 424,088 and 921,805

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Solution

The third proportional to 424,088 and 921,805 is: 2,003,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,088 : 921,805 = 921,805 : x
  2. Step 2: Convert to fraction form
    424,088/921,805 = 921,805/x
  3. Step 3: Cross multiply
    424,088x = 921,805 × 921,805
  4. Step 4: Simplify right side
    424,088x = 849,724,458,025
  5. Step 5: Solve for x
    x = 849,724,458,025/424,088
  6. Step 6: Final answer
    x = 2,003,651.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.