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Finding the Third Proportional to 281,070 and 449,550

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Solution

The third proportional to 281,070 and 449,550 is: 719,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,070 : 449,550 = 449,550 : x
  2. Step 2: Convert to fraction form
    281,070/449,550 = 449,550/x
  3. Step 3: Cross multiply
    281,070x = 449,550 × 449,550
  4. Step 4: Simplify right side
    281,070x = 202,095,202,500
  5. Step 5: Solve for x
    x = 202,095,202,500/281,070
  6. Step 6: Final answer
    x = 719,020.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.