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Finding the Third Proportional to 342,742 and 547,324

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Solution

The third proportional to 342,742 and 547,324 is: 874,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,742 : 547,324 = 547,324 : x
  2. Step 2: Convert to fraction form
    342,742/547,324 = 547,324/x
  3. Step 3: Cross multiply
    342,742x = 547,324 × 547,324
  4. Step 4: Simplify right side
    342,742x = 299,563,560,976
  5. Step 5: Solve for x
    x = 299,563,560,976/342,742
  6. Step 6: Final answer
    x = 874,020.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.