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Finding the Third Proportional to 502,489 and 682,340

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Solution

The third proportional to 502,489 and 682,340 is: 926,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,489 : 682,340 = 682,340 : x
  2. Step 2: Convert to fraction form
    502,489/682,340 = 682,340/x
  3. Step 3: Cross multiply
    502,489x = 682,340 × 682,340
  4. Step 4: Simplify right side
    502,489x = 465,587,875,600
  5. Step 5: Solve for x
    x = 465,587,875,600/502,489
  6. Step 6: Final answer
    x = 926,563.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.