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Finding the Third Proportional to 430,864.31 and 681,939

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Solution

The third proportional to 430,864.31 and 681,939 is: 1,079,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,864.31 : 681,939 = 681,939 : x
  2. Step 2: Convert to fraction form
    430,864.31/681,939 = 681,939/x
  3. Step 3: Cross multiply
    430,864.31x = 681,939 × 681,939
  4. Step 4: Simplify right side
    430,864.31x = 465,040,799,721
  5. Step 5: Solve for x
    x = 465,040,799,721/430,864.31
  6. Step 6: Final answer
    x = 1,079,320.77

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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.