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Finding the Third Proportional to 211,752 and 440,928

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Solution

The third proportional to 211,752 and 440,928 is: 918,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,752 : 440,928 = 440,928 : x
  2. Step 2: Convert to fraction form
    211,752/440,928 = 440,928/x
  3. Step 3: Cross multiply
    211,752x = 440,928 × 440,928
  4. Step 4: Simplify right side
    211,752x = 194,417,501,184
  5. Step 5: Solve for x
    x = 194,417,501,184/211,752
  6. Step 6: Final answer
    x = 918,137.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.