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Finding the Third Proportional to 281,026 and 428,534

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Solution

The third proportional to 281,026 and 428,534 is: 653,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,026 : 428,534 = 428,534 : x
  2. Step 2: Convert to fraction form
    281,026/428,534 = 428,534/x
  3. Step 3: Cross multiply
    281,026x = 428,534 × 428,534
  4. Step 4: Simplify right side
    281,026x = 183,641,389,156
  5. Step 5: Solve for x
    x = 183,641,389,156/281,026
  6. Step 6: Final answer
    x = 653,467.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.