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Finding the Third Proportional to 285,097 and 451,419

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Solution

The third proportional to 285,097 and 451,419 is: 714,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,097 : 451,419 = 451,419 : x
  2. Step 2: Convert to fraction form
    285,097/451,419 = 451,419/x
  3. Step 3: Cross multiply
    285,097x = 451,419 × 451,419
  4. Step 4: Simplify right side
    285,097x = 203,779,113,561
  5. Step 5: Solve for x
    x = 203,779,113,561/285,097
  6. Step 6: Final answer
    x = 714,771.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.