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Finding the Third Proportional to 320,112 and 686,880

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Solution

The third proportional to 320,112 and 686,880 is: 1,473,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,112 : 686,880 = 686,880 : x
  2. Step 2: Convert to fraction form
    320,112/686,880 = 686,880/x
  3. Step 3: Cross multiply
    320,112x = 686,880 × 686,880
  4. Step 4: Simplify right side
    320,112x = 471,804,134,400
  5. Step 5: Solve for x
    x = 471,804,134,400/320,112
  6. Step 6: Final answer
    x = 1,473,872.06

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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.