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Finding the Third Proportional to 430,850 and 681,914

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Solution

The third proportional to 430,850 and 681,914 is: 1,079,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,850 : 681,914 = 681,914 : x
  2. Step 2: Convert to fraction form
    430,850/681,914 = 681,914/x
  3. Step 3: Cross multiply
    430,850x = 681,914 × 681,914
  4. Step 4: Simplify right side
    430,850x = 465,006,703,396
  5. Step 5: Solve for x
    x = 465,006,703,396/430,850
  6. Step 6: Final answer
    x = 1,079,277.48

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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.