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Finding the Third Proportional to 103,421 and 223,459

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Solution

The third proportional to 103,421 and 223,459 is: 482,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,421 : 223,459 = 223,459 : x
  2. Step 2: Convert to fraction form
    103,421/223,459 = 223,459/x
  3. Step 3: Cross multiply
    103,421x = 223,459 × 223,459
  4. Step 4: Simplify right side
    103,421x = 49,933,924,681
  5. Step 5: Solve for x
    x = 49,933,924,681/103,421
  6. Step 6: Final answer
    x = 482,821.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.