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Finding the Third Proportional to 699,656 and 1,080,400

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Solution

The third proportional to 699,656 and 1,080,400 is: 1,668,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,656 : 1,080,400 = 1,080,400 : x
  2. Step 2: Convert to fraction form
    699,656/1,080,400 = 1,080,400/x
  3. Step 3: Cross multiply
    699,656x = 1,080,400 × 1,080,400
  4. Step 4: Simplify right side
    699,656x = 1,167,264,160,000
  5. Step 5: Solve for x
    x = 1,167,264,160,000/699,656
  6. Step 6: Final answer
    x = 1,668,340.10

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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.