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Finding the Third Proportional to 283,466 and 438,890

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Solution

The third proportional to 283,466 and 438,890 is: 679,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,466 : 438,890 = 438,890 : x
  2. Step 2: Convert to fraction form
    283,466/438,890 = 438,890/x
  3. Step 3: Cross multiply
    283,466x = 438,890 × 438,890
  4. Step 4: Simplify right side
    283,466x = 192,624,432,100
  5. Step 5: Solve for x
    x = 192,624,432,100/283,466
  6. Step 6: Final answer
    x = 679,532.76

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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.