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Finding the Third Proportional to 207,396 and 485,655

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Solution

The third proportional to 207,396 and 485,655 is: 1,137,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,396 : 485,655 = 485,655 : x
  2. Step 2: Convert to fraction form
    207,396/485,655 = 485,655/x
  3. Step 3: Cross multiply
    207,396x = 485,655 × 485,655
  4. Step 4: Simplify right side
    207,396x = 235,860,779,025
  5. Step 5: Solve for x
    x = 235,860,779,025/207,396
  6. Step 6: Final answer
    x = 1,137,248.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.