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Finding the Third Proportional to 407,720 and 921,146

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Solution

The third proportional to 407,720 and 921,146 is: 2,081,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,720 : 921,146 = 921,146 : x
  2. Step 2: Convert to fraction form
    407,720/921,146 = 921,146/x
  3. Step 3: Cross multiply
    407,720x = 921,146 × 921,146
  4. Step 4: Simplify right side
    407,720x = 848,509,953,316
  5. Step 5: Solve for x
    x = 848,509,953,316/407,720
  6. Step 6: Final answer
    x = 2,081,109.47

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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.