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Finding the Third Proportional to 430,854 and 681,920

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Solution

The third proportional to 430,854 and 681,920 is: 1,079,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,854 : 681,920 = 681,920 : x
  2. Step 2: Convert to fraction form
    430,854/681,920 = 681,920/x
  3. Step 3: Cross multiply
    430,854x = 681,920 × 681,920
  4. Step 4: Simplify right side
    430,854x = 465,014,886,400
  5. Step 5: Solve for x
    x = 465,014,886,400/430,854
  6. Step 6: Final answer
    x = 1,079,286.46

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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.