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Finding the Third Proportional to 686,276 and 990,048

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Solution

The third proportional to 686,276 and 990,048 is: 1,428,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,276 : 990,048 = 990,048 : x
  2. Step 2: Convert to fraction form
    686,276/990,048 = 990,048/x
  3. Step 3: Cross multiply
    686,276x = 990,048 × 990,048
  4. Step 4: Simplify right side
    686,276x = 980,195,042,304
  5. Step 5: Solve for x
    x = 980,195,042,304/686,276
  6. Step 6: Final answer
    x = 1,428,281.10

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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.