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Finding the Third Proportional to 210,326 and 458,719

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Solution

The third proportional to 210,326 and 458,719 is: 1,000,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,326 : 458,719 = 458,719 : x
  2. Step 2: Convert to fraction form
    210,326/458,719 = 458,719/x
  3. Step 3: Cross multiply
    210,326x = 458,719 × 458,719
  4. Step 4: Simplify right side
    210,326x = 210,423,120,961
  5. Step 5: Solve for x
    x = 210,423,120,961/210,326
  6. Step 6: Final answer
    x = 1,000,461.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.