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Finding the Third Proportional to 239,868 and 528,030

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Solution

The third proportional to 239,868 and 528,030 is: 1,162,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,868 : 528,030 = 528,030 : x
  2. Step 2: Convert to fraction form
    239,868/528,030 = 528,030/x
  3. Step 3: Cross multiply
    239,868x = 528,030 × 528,030
  4. Step 4: Simplify right side
    239,868x = 278,815,680,900
  5. Step 5: Solve for x
    x = 278,815,680,900/239,868
  6. Step 6: Final answer
    x = 1,162,371.31

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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.