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Finding the Third Proportional to 215,904 and 456,720

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Solution

The third proportional to 215,904 and 456,720 is: 966,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,904 : 456,720 = 456,720 : x
  2. Step 2: Convert to fraction form
    215,904/456,720 = 456,720/x
  3. Step 3: Cross multiply
    215,904x = 456,720 × 456,720
  4. Step 4: Simplify right side
    215,904x = 208,593,158,400
  5. Step 5: Solve for x
    x = 208,593,158,400/215,904
  6. Step 6: Final answer
    x = 966,138.46

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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.