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Finding the Third Proportional to 428,382.84 and 940,828.50

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Solution

The third proportional to 428,382.84 and 940,828.50 is: 2,066,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,382.84 : 940,828.50 = 940,828.50 : x
  2. Step 2: Convert to fraction form
    428,382.84/940,828.50 = 940,828.50/x
  3. Step 3: Cross multiply
    428,382.84x = 940,828.50 × 940,828.50
  4. Step 4: Simplify right side
    428,382.84x = 885,158,266,412.25
  5. Step 5: Solve for x
    x = 885,158,266,412.25/428,382.84
  6. Step 6: Final answer
    x = 2,066,278.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.