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Finding the Third Proportional to 210,309 and 462,673

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Solution

The third proportional to 210,309 and 462,673 is: 1,017,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,309 : 462,673 = 462,673 : x
  2. Step 2: Convert to fraction form
    210,309/462,673 = 462,673/x
  3. Step 3: Cross multiply
    210,309x = 462,673 × 462,673
  4. Step 4: Simplify right side
    210,309x = 214,066,304,929
  5. Step 5: Solve for x
    x = 214,066,304,929/210,309
  6. Step 6: Final answer
    x = 1,017,865.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.