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Finding the Third Proportional to 305,240 and 663,030

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Solution

The third proportional to 305,240 and 663,030 is: 1,440,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,240 : 663,030 = 663,030 : x
  2. Step 2: Convert to fraction form
    305,240/663,030 = 663,030/x
  3. Step 3: Cross multiply
    305,240x = 663,030 × 663,030
  4. Step 4: Simplify right side
    305,240x = 439,608,780,900
  5. Step 5: Solve for x
    x = 439,608,780,900/305,240
  6. Step 6: Final answer
    x = 1,440,206.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.