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Finding the Third Proportional to 100,814.63 and 221,281.88

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Solution

The third proportional to 100,814.63 and 221,281.88 is: 485,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,814.63 : 221,281.88 = 221,281.88 : x
  2. Step 2: Convert to fraction form
    100,814.63/221,281.88 = 221,281.88/x
  3. Step 3: Cross multiply
    100,814.63x = 221,281.88 × 221,281.88
  4. Step 4: Simplify right side
    100,814.63x = 48,965,668,203.52
  5. Step 5: Solve for x
    x = 48,965,668,203.52/100,814.63
  6. Step 6: Final answer
    x = 485,700.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.