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Finding the Third Proportional to 210,307 and 462,669

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Solution

The third proportional to 210,307 and 462,669 is: 1,017,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,307 : 462,669 = 462,669 : x
  2. Step 2: Convert to fraction form
    210,307/462,669 = 462,669/x
  3. Step 3: Cross multiply
    210,307x = 462,669 × 462,669
  4. Step 4: Simplify right side
    210,307x = 214,062,603,561
  5. Step 5: Solve for x
    x = 214,062,603,561/210,307
  6. Step 6: Final answer
    x = 1,017,857.72

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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.