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Finding the Third Proportional to 282,021.75 and 440,184.38

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Solution

The third proportional to 282,021.75 and 440,184.38 is: 687,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,021.75 : 440,184.38 = 440,184.38 : x
  2. Step 2: Convert to fraction form
    282,021.75/440,184.38 = 440,184.38/x
  3. Step 3: Cross multiply
    282,021.75x = 440,184.38 × 440,184.38
  4. Step 4: Simplify right side
    282,021.75x = 193,762,283,994.14
  5. Step 5: Solve for x
    x = 193,762,283,994.14/282,021.75
  6. Step 6: Final answer
    x = 687,047.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.