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Finding the Third Proportional to 520,964 and 781,302

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Solution

The third proportional to 520,964 and 781,302 is: 1,171,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,964 : 781,302 = 781,302 : x
  2. Step 2: Convert to fraction form
    520,964/781,302 = 781,302/x
  3. Step 3: Cross multiply
    520,964x = 781,302 × 781,302
  4. Step 4: Simplify right side
    520,964x = 610,432,815,204
  5. Step 5: Solve for x
    x = 610,432,815,204/520,964
  6. Step 6: Final answer
    x = 1,171,737.04

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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.