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Finding the Third Proportional to 120,242 and 257,158

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Solution

The third proportional to 120,242 and 257,158 is: 549,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,242 : 257,158 = 257,158 : x
  2. Step 2: Convert to fraction form
    120,242/257,158 = 257,158/x
  3. Step 3: Cross multiply
    120,242x = 257,158 × 257,158
  4. Step 4: Simplify right side
    120,242x = 66,130,236,964
  5. Step 5: Solve for x
    x = 66,130,236,964/120,242
  6. Step 6: Final answer
    x = 549,976.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.