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Finding the Third Proportional to 430,860 and 681,929

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Solution

The third proportional to 430,860 and 681,929 is: 1,079,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,860 : 681,929 = 681,929 : x
  2. Step 2: Convert to fraction form
    430,860/681,929 = 681,929/x
  3. Step 3: Cross multiply
    430,860x = 681,929 × 681,929
  4. Step 4: Simplify right side
    430,860x = 465,027,161,041
  5. Step 5: Solve for x
    x = 465,027,161,041/430,860
  6. Step 6: Final answer
    x = 1,079,299.91

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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.