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Finding the Third Proportional to 120,042 and 257,875

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Solution

The third proportional to 120,042 and 257,875 is: 553,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,042 : 257,875 = 257,875 : x
  2. Step 2: Convert to fraction form
    120,042/257,875 = 257,875/x
  3. Step 3: Cross multiply
    120,042x = 257,875 × 257,875
  4. Step 4: Simplify right side
    120,042x = 66,499,515,625
  5. Step 5: Solve for x
    x = 66,499,515,625/120,042
  6. Step 6: Final answer
    x = 553,968.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.