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Finding the Third Proportional to 211,807 and 456,158

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Solution

The third proportional to 211,807 and 456,158 is: 982,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,807 : 456,158 = 456,158 : x
  2. Step 2: Convert to fraction form
    211,807/456,158 = 456,158/x
  3. Step 3: Cross multiply
    211,807x = 456,158 × 456,158
  4. Step 4: Simplify right side
    211,807x = 208,080,120,964
  5. Step 5: Solve for x
    x = 208,080,120,964/211,807
  6. Step 6: Final answer
    x = 982,404.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.