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Finding the Third Proportional to 430,858 and 681,926

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Solution

The third proportional to 430,858 and 681,926 is: 1,079,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,858 : 681,926 = 681,926 : x
  2. Step 2: Convert to fraction form
    430,858/681,926 = 681,926/x
  3. Step 3: Cross multiply
    430,858x = 681,926 × 681,926
  4. Step 4: Simplify right side
    430,858x = 465,023,069,476
  5. Step 5: Solve for x
    x = 465,023,069,476/430,858
  6. Step 6: Final answer
    x = 1,079,295.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.