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Finding the Third Proportional to 282,412.50 and 440,291.25

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Solution

The third proportional to 282,412.50 and 440,291.25 is: 686,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,412.50 : 440,291.25 = 440,291.25 : x
  2. Step 2: Convert to fraction form
    282,412.50/440,291.25 = 440,291.25/x
  3. Step 3: Cross multiply
    282,412.50x = 440,291.25 × 440,291.25
  4. Step 4: Simplify right side
    282,412.50x = 193,856,384,826.56
  5. Step 5: Solve for x
    x = 193,856,384,826.56/282,412.50
  6. Step 6: Final answer
    x = 686,429.90

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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.