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Finding the Third Proportional to 240,178 and 522,638

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Solution

The third proportional to 240,178 and 522,638 is: 1,137,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,178 : 522,638 = 522,638 : x
  2. Step 2: Convert to fraction form
    240,178/522,638 = 522,638/x
  3. Step 3: Cross multiply
    240,178x = 522,638 × 522,638
  4. Step 4: Simplify right side
    240,178x = 273,150,479,044
  5. Step 5: Solve for x
    x = 273,150,479,044/240,178
  6. Step 6: Final answer
    x = 1,137,283.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.