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Finding the Third Proportional to 538,000 and 781,656

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Solution

The third proportional to 538,000 and 781,656 is: 1,135,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,000 : 781,656 = 781,656 : x
  2. Step 2: Convert to fraction form
    538,000/781,656 = 781,656/x
  3. Step 3: Cross multiply
    538,000x = 781,656 × 781,656
  4. Step 4: Simplify right side
    538,000x = 610,986,102,336
  5. Step 5: Solve for x
    x = 610,986,102,336/538,000
  6. Step 6: Final answer
    x = 1,135,661.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.