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Finding the Third Proportional to 520,956 and 781,290

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Solution

The third proportional to 520,956 and 781,290 is: 1,171,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,956 : 781,290 = 781,290 : x
  2. Step 2: Convert to fraction form
    520,956/781,290 = 781,290/x
  3. Step 3: Cross multiply
    520,956x = 781,290 × 781,290
  4. Step 4: Simplify right side
    520,956x = 610,414,064,100
  5. Step 5: Solve for x
    x = 610,414,064,100/520,956
  6. Step 6: Final answer
    x = 1,171,719.04

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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.