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Finding the Third Proportional to 699,633 and 1,080,369

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Solution

The third proportional to 699,633 and 1,080,369 is: 1,668,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,633 : 1,080,369 = 1,080,369 : x
  2. Step 2: Convert to fraction form
    699,633/1,080,369 = 1,080,369/x
  3. Step 3: Cross multiply
    699,633x = 1,080,369 × 1,080,369
  4. Step 4: Simplify right side
    699,633x = 1,167,197,176,161
  5. Step 5: Solve for x
    x = 1,167,197,176,161/699,633
  6. Step 6: Final answer
    x = 1,668,299.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.