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Finding the Third Proportional to 520,968 and 781,308

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Solution

The third proportional to 520,968 and 781,308 is: 1,171,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,968 : 781,308 = 781,308 : x
  2. Step 2: Convert to fraction form
    520,968/781,308 = 781,308/x
  3. Step 3: Cross multiply
    520,968x = 781,308 × 781,308
  4. Step 4: Simplify right side
    520,968x = 610,442,190,864
  5. Step 5: Solve for x
    x = 610,442,190,864/520,968
  6. Step 6: Final answer
    x = 1,171,746.04

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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.