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Finding the Third Proportional to 399,440.63 and 561,839.81

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Solution

The third proportional to 399,440.63 and 561,839.81 is: 790,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,440.63 : 561,839.81 = 561,839.81 : x
  2. Step 2: Convert to fraction form
    399,440.63/561,839.81 = 561,839.81/x
  3. Step 3: Cross multiply
    399,440.63x = 561,839.81 × 561,839.81
  4. Step 4: Simplify right side
    399,440.63x = 315,663,974,910.04
  5. Step 5: Solve for x
    x = 315,663,974,910.04/399,440.63
  6. Step 6: Final answer
    x = 790,265.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.