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Finding the Third Proportional to 215,780 and 456,232

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Solution

The third proportional to 215,780 and 456,232 is: 964,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,780 : 456,232 = 456,232 : x
  2. Step 2: Convert to fraction form
    215,780/456,232 = 456,232/x
  3. Step 3: Cross multiply
    215,780x = 456,232 × 456,232
  4. Step 4: Simplify right side
    215,780x = 208,147,637,824
  5. Step 5: Solve for x
    x = 208,147,637,824/215,780
  6. Step 6: Final answer
    x = 964,628.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.