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Finding the Third Proportional to 283,785 and 423,217.50

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Solution

The third proportional to 283,785 and 423,217.50 is: 631,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,785 : 423,217.50 = 423,217.50 : x
  2. Step 2: Convert to fraction form
    283,785/423,217.50 = 423,217.50/x
  3. Step 3: Cross multiply
    283,785x = 423,217.50 × 423,217.50
  4. Step 4: Simplify right side
    283,785x = 179,113,052,306.25
  5. Step 5: Solve for x
    x = 179,113,052,306.25/283,785
  6. Step 6: Final answer
    x = 631,157.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.