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Finding the Third Proportional to 610,208 and 923,196

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Solution

The third proportional to 610,208 and 923,196 is: 1,396,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,208 : 923,196 = 923,196 : x
  2. Step 2: Convert to fraction form
    610,208/923,196 = 923,196/x
  3. Step 3: Cross multiply
    610,208x = 923,196 × 923,196
  4. Step 4: Simplify right side
    610,208x = 852,290,854,416
  5. Step 5: Solve for x
    x = 852,290,854,416/610,208
  6. Step 6: Final answer
    x = 1,396,721.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.