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Finding the Third Proportional to 283,787 and 423,220

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Solution

The third proportional to 283,787 and 423,220 is: 631,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,787 : 423,220 = 423,220 : x
  2. Step 2: Convert to fraction form
    283,787/423,220 = 423,220/x
  3. Step 3: Cross multiply
    283,787x = 423,220 × 423,220
  4. Step 4: Simplify right side
    283,787x = 179,115,168,400
  5. Step 5: Solve for x
    x = 179,115,168,400/283,787
  6. Step 6: Final answer
    x = 631,160.58

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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.