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Finding the Third Proportional to 491,786.44 and 781,986.66

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Solution

The third proportional to 491,786.44 and 781,986.66 is: 1,243,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,786.44 : 781,986.66 = 781,986.66 : x
  2. Step 2: Convert to fraction form
    491,786.44/781,986.66 = 781,986.66/x
  3. Step 3: Cross multiply
    491,786.44x = 781,986.66 × 781,986.66
  4. Step 4: Simplify right side
    491,786.44x = 611,503,130,553.06
  5. Step 5: Solve for x
    x = 611,503,130,553.06/491,786.44
  6. Step 6: Final answer
    x = 1,243,432.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.