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Finding the Third Proportional to 215,388 and 456,696

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Solution

The third proportional to 215,388 and 456,696 is: 968,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,388 : 456,696 = 456,696 : x
  2. Step 2: Convert to fraction form
    215,388/456,696 = 456,696/x
  3. Step 3: Cross multiply
    215,388x = 456,696 × 456,696
  4. Step 4: Simplify right side
    215,388x = 208,571,236,416
  5. Step 5: Solve for x
    x = 208,571,236,416/215,388
  6. Step 6: Final answer
    x = 968,351.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.