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Finding the Third Proportional to 281,760 and 626,520

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Solution

The third proportional to 281,760 and 626,520 is: 1,393,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,760 : 626,520 = 626,520 : x
  2. Step 2: Convert to fraction form
    281,760/626,520 = 626,520/x
  3. Step 3: Cross multiply
    281,760x = 626,520 × 626,520
  4. Step 4: Simplify right side
    281,760x = 392,527,310,400
  5. Step 5: Solve for x
    x = 392,527,310,400/281,760
  6. Step 6: Final answer
    x = 1,393,126.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.