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Finding the Third Proportional to 401,374.13 and 622,820.81

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Solution

The third proportional to 401,374.13 and 622,820.81 is: 966,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,374.13 : 622,820.81 = 622,820.81 : x
  2. Step 2: Convert to fraction form
    401,374.13/622,820.81 = 622,820.81/x
  3. Step 3: Cross multiply
    401,374.13x = 622,820.81 × 622,820.81
  4. Step 4: Simplify right side
    401,374.13x = 387,905,764,483.16
  5. Step 5: Solve for x
    x = 387,905,764,483.16/401,374.13
  6. Step 6: Final answer
    x = 966,444.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.