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Finding the Third Proportional to 434,873.58 and 663,558.21

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Solution

The third proportional to 434,873.58 and 663,558.21 is: 1,012,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,873.58 : 663,558.21 = 663,558.21 : x
  2. Step 2: Convert to fraction form
    434,873.58/663,558.21 = 663,558.21/x
  3. Step 3: Cross multiply
    434,873.58x = 663,558.21 × 663,558.21
  4. Step 4: Simplify right side
    434,873.58x = 440,309,497,358.58
  5. Step 5: Solve for x
    x = 440,309,497,358.58/434,873.58
  6. Step 6: Final answer
    x = 1,012,500.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.