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Finding the Third Proportional to 538,356 and 784,165

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Solution

The third proportional to 538,356 and 784,165 is: 1,142,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,356 : 784,165 = 784,165 : x
  2. Step 2: Convert to fraction form
    538,356/784,165 = 784,165/x
  3. Step 3: Cross multiply
    538,356x = 784,165 × 784,165
  4. Step 4: Simplify right side
    538,356x = 614,914,747,225
  5. Step 5: Solve for x
    x = 614,914,747,225/538,356
  6. Step 6: Final answer
    x = 1,142,208.40

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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.