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Finding the Third Proportional to 283,520 and 438,680

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Solution

The third proportional to 283,520 and 438,680 is: 678,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,520 : 438,680 = 438,680 : x
  2. Step 2: Convert to fraction form
    283,520/438,680 = 438,680/x
  3. Step 3: Cross multiply
    283,520x = 438,680 × 438,680
  4. Step 4: Simplify right side
    283,520x = 192,440,142,400
  5. Step 5: Solve for x
    x = 192,440,142,400/283,520
  6. Step 6: Final answer
    x = 678,753.32

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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.