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Finding the Third Proportional to 213,577 and 469,788

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Solution

The third proportional to 213,577 and 469,788 is: 1,033,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,577 : 469,788 = 469,788 : x
  2. Step 2: Convert to fraction form
    213,577/469,788 = 469,788/x
  3. Step 3: Cross multiply
    213,577x = 469,788 × 469,788
  4. Step 4: Simplify right side
    213,577x = 220,700,764,944
  5. Step 5: Solve for x
    x = 220,700,764,944/213,577
  6. Step 6: Final answer
    x = 1,033,354.55

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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.