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Finding the Third Proportional to 283,455 and 438,875

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Solution

The third proportional to 283,455 and 438,875 is: 679,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,455 : 438,875 = 438,875 : x
  2. Step 2: Convert to fraction form
    283,455/438,875 = 438,875/x
  3. Step 3: Cross multiply
    283,455x = 438,875 × 438,875
  4. Step 4: Simplify right side
    283,455x = 192,611,265,625
  5. Step 5: Solve for x
    x = 192,611,265,625/283,455
  6. Step 6: Final answer
    x = 679,512.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.