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Finding the Third Proportional to 686,281 and 990,052

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Solution

The third proportional to 686,281 and 990,052 is: 1,428,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,281 : 990,052 = 990,052 : x
  2. Step 2: Convert to fraction form
    686,281/990,052 = 990,052/x
  3. Step 3: Cross multiply
    686,281x = 990,052 × 990,052
  4. Step 4: Simplify right side
    686,281x = 980,202,962,704
  5. Step 5: Solve for x
    x = 980,202,962,704/686,281
  6. Step 6: Final answer
    x = 1,428,282.24

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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.