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Finding the Third Proportional to 120,240 and 257,154

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Solution

The third proportional to 120,240 and 257,154 is: 549,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,240 : 257,154 = 257,154 : x
  2. Step 2: Convert to fraction form
    120,240/257,154 = 257,154/x
  3. Step 3: Cross multiply
    120,240x = 257,154 × 257,154
  4. Step 4: Simplify right side
    120,240x = 66,128,179,716
  5. Step 5: Solve for x
    x = 66,128,179,716/120,240
  6. Step 6: Final answer
    x = 549,968.23

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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.