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Finding the Third Proportional to 223,421 and 478,823

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Solution

The third proportional to 223,421 and 478,823 is: 1,026,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,421 : 478,823 = 478,823 : x
  2. Step 2: Convert to fraction form
    223,421/478,823 = 478,823/x
  3. Step 3: Cross multiply
    223,421x = 478,823 × 478,823
  4. Step 4: Simplify right side
    223,421x = 229,271,465,329
  5. Step 5: Solve for x
    x = 229,271,465,329/223,421
  6. Step 6: Final answer
    x = 1,026,185.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.