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Finding the Third Proportional to 439,982 and 686,265

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Solution

The third proportional to 439,982 and 686,265 is: 1,070,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,982 : 686,265 = 686,265 : x
  2. Step 2: Convert to fraction form
    439,982/686,265 = 686,265/x
  3. Step 3: Cross multiply
    439,982x = 686,265 × 686,265
  4. Step 4: Simplify right side
    439,982x = 470,959,650,225
  5. Step 5: Solve for x
    x = 470,959,650,225/439,982
  6. Step 6: Final answer
    x = 1,070,406.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.