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Finding the Third Proportional to 259,043.06 and 399,638.81

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Solution

The third proportional to 259,043.06 and 399,638.81 is: 616,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,043.06 : 399,638.81 = 399,638.81 : x
  2. Step 2: Convert to fraction form
    259,043.06/399,638.81 = 399,638.81/x
  3. Step 3: Cross multiply
    259,043.06x = 399,638.81 × 399,638.81
  4. Step 4: Simplify right side
    259,043.06x = 159,711,180,456.41
  5. Step 5: Solve for x
    x = 159,711,180,456.41/259,043.06
  6. Step 6: Final answer
    x = 616,542.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.