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Finding the Third Proportional to 207,364 and 435,616

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Solution

The third proportional to 207,364 and 435,616 is: 915,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 435,616 = 435,616 : x
  2. Step 2: Convert to fraction form
    207,364/435,616 = 435,616/x
  3. Step 3: Cross multiply
    207,364x = 435,616 × 435,616
  4. Step 4: Simplify right side
    207,364x = 189,761,299,456
  5. Step 5: Solve for x
    x = 189,761,299,456/207,364
  6. Step 6: Final answer
    x = 915,112.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.