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Finding the Third Proportional to 538,407 and 784,242

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Solution

The third proportional to 538,407 and 784,242 is: 1,142,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,407 : 784,242 = 784,242 : x
  2. Step 2: Convert to fraction form
    538,407/784,242 = 784,242/x
  3. Step 3: Cross multiply
    538,407x = 784,242 × 784,242
  4. Step 4: Simplify right side
    538,407x = 615,035,514,564
  5. Step 5: Solve for x
    x = 615,035,514,564/538,407
  6. Step 6: Final answer
    x = 1,142,324.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.