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Finding the Third Proportional to 207,364 and 445,688

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Solution

The third proportional to 207,364 and 445,688 is: 957,918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 445,688 = 445,688 : x
  2. Step 2: Convert to fraction form
    207,364/445,688 = 445,688/x
  3. Step 3: Cross multiply
    207,364x = 445,688 × 445,688
  4. Step 4: Simplify right side
    207,364x = 198,637,793,344
  5. Step 5: Solve for x
    x = 198,637,793,344/207,364
  6. Step 6: Final answer
    x = 957,918.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.