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Finding the Third Proportional to 283,581 and 425,371.50

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Solution

The third proportional to 283,581 and 425,371.50 is: 638,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,581 : 425,371.50 = 425,371.50 : x
  2. Step 2: Convert to fraction form
    283,581/425,371.50 = 425,371.50/x
  3. Step 3: Cross multiply
    283,581x = 425,371.50 × 425,371.50
  4. Step 4: Simplify right side
    283,581x = 180,940,913,012.25
  5. Step 5: Solve for x
    x = 180,940,913,012.25/283,581
  6. Step 6: Final answer
    x = 638,057.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.