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Finding the Third Proportional to 699,817 and 1,429,157

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Solution

The third proportional to 699,817 and 1,429,157 is: 2,918,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,817 : 1,429,157 = 1,429,157 : x
  2. Step 2: Convert to fraction form
    699,817/1,429,157 = 1,429,157/x
  3. Step 3: Cross multiply
    699,817x = 1,429,157 × 1,429,157
  4. Step 4: Simplify right side
    699,817x = 2,042,489,730,649
  5. Step 5: Solve for x
    x = 2,042,489,730,649/699,817
  6. Step 6: Final answer
    x = 2,918,605.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.