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Finding the Third Proportional to 407,712 and 921,126

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Solution

The third proportional to 407,712 and 921,126 is: 2,081,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712 : 921,126 = 921,126 : x
  2. Step 2: Convert to fraction form
    407,712/921,126 = 921,126/x
  3. Step 3: Cross multiply
    407,712x = 921,126 × 921,126
  4. Step 4: Simplify right side
    407,712x = 848,473,107,876
  5. Step 5: Solve for x
    x = 848,473,107,876/407,712
  6. Step 6: Final answer
    x = 2,081,059.93

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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.