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Finding the Third Proportional to 320,122 and 686,900

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Solution

The third proportional to 320,122 and 686,900 is: 1,473,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,122 : 686,900 = 686,900 : x
  2. Step 2: Convert to fraction form
    320,122/686,900 = 686,900/x
  3. Step 3: Cross multiply
    320,122x = 686,900 × 686,900
  4. Step 4: Simplify right side
    320,122x = 471,831,610,000
  5. Step 5: Solve for x
    x = 471,831,610,000/320,122
  6. Step 6: Final answer
    x = 1,473,911.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.