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Finding the Third Proportional to 288,341.44 and 630,964.69

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Solution

The third proportional to 288,341.44 and 630,964.69 is: 1,380,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,341.44 : 630,964.69 = 630,964.69 : x
  2. Step 2: Convert to fraction form
    288,341.44/630,964.69 = 630,964.69/x
  3. Step 3: Cross multiply
    288,341.44x = 630,964.69 × 630,964.69
  4. Step 4: Simplify right side
    288,341.44x = 398,116,436,871.97
  5. Step 5: Solve for x
    x = 398,116,436,871.97/288,341.44
  6. Step 6: Final answer
    x = 1,380,711.84

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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.