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Finding the Third Proportional to 699,642 and 1,080,382.50

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Solution

The third proportional to 699,642 and 1,080,382.50 is: 1,668,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,642 : 1,080,382.50 = 1,080,382.50 : x
  2. Step 2: Convert to fraction form
    699,642/1,080,382.50 = 1,080,382.50/x
  3. Step 3: Cross multiply
    699,642x = 1,080,382.50 × 1,080,382.50
  4. Step 4: Simplify right side
    699,642x = 1,167,226,346,306.25
  5. Step 5: Solve for x
    x = 1,167,226,346,306.25/699,642
  6. Step 6: Final answer
    x = 1,668,319.44

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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.