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Finding the Third Proportional to 428,910.19 and 928,427.06

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Solution

The third proportional to 428,910.19 and 928,427.06 is: 2,009,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,910.19 : 928,427.06 = 928,427.06 : x
  2. Step 2: Convert to fraction form
    428,910.19/928,427.06 = 928,427.06/x
  3. Step 3: Cross multiply
    428,910.19x = 928,427.06 × 928,427.06
  4. Step 4: Simplify right side
    428,910.19x = 861,976,810,382.38
  5. Step 5: Solve for x
    x = 861,976,810,382.38/428,910.19
  6. Step 6: Final answer
    x = 2,009,690.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.