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Finding the Third Proportional to 665,742.38 and 942,009.75

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Solution

The third proportional to 665,742.38 and 942,009.75 is: 1,332,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,742.38 : 942,009.75 = 942,009.75 : x
  2. Step 2: Convert to fraction form
    665,742.38/942,009.75 = 942,009.75/x
  3. Step 3: Cross multiply
    665,742.38x = 942,009.75 × 942,009.75
  4. Step 4: Simplify right side
    665,742.38x = 887,382,369,095.06
  5. Step 5: Solve for x
    x = 887,382,369,095.06/665,742.38
  6. Step 6: Final answer
    x = 1,332,921.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.