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Finding the Third Proportional to 120,663 and 257,350

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Solution

The third proportional to 120,663 and 257,350 is: 548,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,663 : 257,350 = 257,350 : x
  2. Step 2: Convert to fraction form
    120,663/257,350 = 257,350/x
  3. Step 3: Cross multiply
    120,663x = 257,350 × 257,350
  4. Step 4: Simplify right side
    120,663x = 66,229,022,500
  5. Step 5: Solve for x
    x = 66,229,022,500/120,663
  6. Step 6: Final answer
    x = 548,875.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.