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Finding the Third Proportional to 688,504 and 991,644

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Solution

The third proportional to 688,504 and 991,644 is: 1,428,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,504 : 991,644 = 991,644 : x
  2. Step 2: Convert to fraction form
    688,504/991,644 = 991,644/x
  3. Step 3: Cross multiply
    688,504x = 991,644 × 991,644
  4. Step 4: Simplify right side
    688,504x = 983,357,822,736
  5. Step 5: Solve for x
    x = 983,357,822,736/688,504
  6. Step 6: Final answer
    x = 1,428,252.88

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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.