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Finding the Third Proportional to 428,635.13 and 916,319.25

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Solution

The third proportional to 428,635.13 and 916,319.25 is: 1,958,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,635.13 : 916,319.25 = 916,319.25 : x
  2. Step 2: Convert to fraction form
    428,635.13/916,319.25 = 916,319.25/x
  3. Step 3: Cross multiply
    428,635.13x = 916,319.25 × 916,319.25
  4. Step 4: Simplify right side
    428,635.13x = 839,640,967,920.56
  5. Step 5: Solve for x
    x = 839,640,967,920.56/428,635.13
  6. Step 6: Final answer
    x = 1,958,871.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.