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Finding the Third Proportional to 686,294 and 990,063

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Solution

The third proportional to 686,294 and 990,063 is: 1,428,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,294 : 990,063 = 990,063 : x
  2. Step 2: Convert to fraction form
    686,294/990,063 = 990,063/x
  3. Step 3: Cross multiply
    686,294x = 990,063 × 990,063
  4. Step 4: Simplify right side
    686,294x = 980,224,743,969
  5. Step 5: Solve for x
    x = 980,224,743,969/686,294
  6. Step 6: Final answer
    x = 1,428,286.92

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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.