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Finding the Third Proportional to 356,372.79 and 775,485.14

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Solution

The third proportional to 356,372.79 and 775,485.14 is: 1,687,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,372.79 : 775,485.14 = 775,485.14 : x
  2. Step 2: Convert to fraction form
    356,372.79/775,485.14 = 775,485.14/x
  3. Step 3: Cross multiply
    356,372.79x = 775,485.14 × 775,485.14
  4. Step 4: Simplify right side
    356,372.79x = 601,377,203,330.18
  5. Step 5: Solve for x
    x = 601,377,203,330.18/356,372.79
  6. Step 6: Final answer
    x = 1,687,494.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.