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Finding the Third Proportional to 342,256 and 824,536

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Solution

The third proportional to 342,256 and 824,536 is: 1,986,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,256 : 824,536 = 824,536 : x
  2. Step 2: Convert to fraction form
    342,256/824,536 = 824,536/x
  3. Step 3: Cross multiply
    342,256x = 824,536 × 824,536
  4. Step 4: Simplify right side
    342,256x = 679,859,615,296
  5. Step 5: Solve for x
    x = 679,859,615,296/342,256
  6. Step 6: Final answer
    x = 1,986,406.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.