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Finding the Third Proportional to 120,692 and 257,412

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Solution

The third proportional to 120,692 and 257,412 is: 549,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692 : 257,412 = 257,412 : x
  2. Step 2: Convert to fraction form
    120,692/257,412 = 257,412/x
  3. Step 3: Cross multiply
    120,692x = 257,412 × 257,412
  4. Step 4: Simplify right side
    120,692x = 66,260,937,744
  5. Step 5: Solve for x
    x = 66,260,937,744/120,692
  6. Step 6: Final answer
    x = 549,008.53

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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.