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Finding the Third Proportional to 361,690.31 and 785,649.38

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Solution

The third proportional to 361,690.31 and 785,649.38 is: 1,706,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,690.31 : 785,649.38 = 785,649.38 : x
  2. Step 2: Convert to fraction form
    361,690.31/785,649.38 = 785,649.38/x
  3. Step 3: Cross multiply
    361,690.31x = 785,649.38 × 785,649.38
  4. Step 4: Simplify right side
    361,690.31x = 617,244,940,437.89
  5. Step 5: Solve for x
    x = 617,244,940,437.89/361,690.31
  6. Step 6: Final answer
    x = 1,706,556.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.