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Finding the Third Proportional to 520,733 and 781,100

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Solution

The third proportional to 520,733 and 781,100 is: 1,171,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,733 : 781,100 = 781,100 : x
  2. Step 2: Convert to fraction form
    520,733/781,100 = 781,100/x
  3. Step 3: Cross multiply
    520,733x = 781,100 × 781,100
  4. Step 4: Simplify right side
    520,733x = 610,117,210,000
  5. Step 5: Solve for x
    x = 610,117,210,000/520,733
  6. Step 6: Final answer
    x = 1,171,650.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.