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Finding the Third Proportional to 686,268 and 990,033

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Solution

The third proportional to 686,268 and 990,033 is: 1,428,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,268 : 990,033 = 990,033 : x
  2. Step 2: Convert to fraction form
    686,268/990,033 = 990,033/x
  3. Step 3: Cross multiply
    686,268x = 990,033 × 990,033
  4. Step 4: Simplify right side
    686,268x = 980,165,341,089
  5. Step 5: Solve for x
    x = 980,165,341,089/686,268
  6. Step 6: Final answer
    x = 1,428,254.47

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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.