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Finding the Third Proportional to 281,010.94 and 428,555.81

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Solution

The third proportional to 281,010.94 and 428,555.81 is: 653,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,010.94 : 428,555.81 = 428,555.81 : x
  2. Step 2: Convert to fraction form
    281,010.94/428,555.81 = 428,555.81/x
  3. Step 3: Cross multiply
    281,010.94x = 428,555.81 × 428,555.81
  4. Step 4: Simplify right side
    281,010.94x = 183,660,084,427.54
  5. Step 5: Solve for x
    x = 183,660,084,427.54/281,010.94
  6. Step 6: Final answer
    x = 653,569.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.