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Finding the Third Proportional to 428,014.13 and 640,684.69

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Solution

The third proportional to 428,014.13 and 640,684.69 is: 959,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,014.13 : 640,684.69 = 640,684.69 : x
  2. Step 2: Convert to fraction form
    428,014.13/640,684.69 = 640,684.69/x
  3. Step 3: Cross multiply
    428,014.13x = 640,684.69 × 640,684.69
  4. Step 4: Simplify right side
    428,014.13x = 410,476,868,796.97
  5. Step 5: Solve for x
    x = 410,476,868,796.97/428,014.13
  6. Step 6: Final answer
    x = 959,026.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.