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Finding the Third Proportional to 686,296 and 990,072

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Solution

The third proportional to 686,296 and 990,072 is: 1,428,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,296 : 990,072 = 990,072 : x
  2. Step 2: Convert to fraction form
    686,296/990,072 = 990,072/x
  3. Step 3: Cross multiply
    686,296x = 990,072 × 990,072
  4. Step 4: Simplify right side
    686,296x = 980,242,565,184
  5. Step 5: Solve for x
    x = 980,242,565,184/686,296
  6. Step 6: Final answer
    x = 1,428,308.73

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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.