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Finding the Third Proportional to 120,237 and 257,151

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Solution

The third proportional to 120,237 and 257,151 is: 549,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,237 : 257,151 = 257,151 : x
  2. Step 2: Convert to fraction form
    120,237/257,151 = 257,151/x
  3. Step 3: Cross multiply
    120,237x = 257,151 × 257,151
  4. Step 4: Simplify right side
    120,237x = 66,126,636,801
  5. Step 5: Solve for x
    x = 66,126,636,801/120,237
  6. Step 6: Final answer
    x = 549,969.12

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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.