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Finding the Third Proportional to 239,862 and 528,020

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Solution

The third proportional to 239,862 and 528,020 is: 1,162,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,862 : 528,020 = 528,020 : x
  2. Step 2: Convert to fraction form
    239,862/528,020 = 528,020/x
  3. Step 3: Cross multiply
    239,862x = 528,020 × 528,020
  4. Step 4: Simplify right side
    239,862x = 278,805,120,400
  5. Step 5: Solve for x
    x = 278,805,120,400/239,862
  6. Step 6: Final answer
    x = 1,162,356.36

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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.