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Finding the Third Proportional to 431,905.50 and 942,421.50

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Solution

The third proportional to 431,905.50 and 942,421.50 is: 2,056,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,905.50 : 942,421.50 = 942,421.50 : x
  2. Step 2: Convert to fraction form
    431,905.50/942,421.50 = 942,421.50/x
  3. Step 3: Cross multiply
    431,905.50x = 942,421.50 × 942,421.50
  4. Step 4: Simplify right side
    431,905.50x = 888,158,283,662.25
  5. Step 5: Solve for x
    x = 888,158,283,662.25/431,905.50
  6. Step 6: Final answer
    x = 2,056,371.78

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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.