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Finding the Third Proportional to 686,296 and 990,080

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Solution

The third proportional to 686,296 and 990,080 is: 1,428,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,296 : 990,080 = 990,080 : x
  2. Step 2: Convert to fraction form
    686,296/990,080 = 990,080/x
  3. Step 3: Cross multiply
    686,296x = 990,080 × 990,080
  4. Step 4: Simplify right side
    686,296x = 980,258,406,400
  5. Step 5: Solve for x
    x = 980,258,406,400/686,296
  6. Step 6: Final answer
    x = 1,428,331.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.