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Finding the Third Proportional to 120,725 and 257,044

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Solution

The third proportional to 120,725 and 257,044 is: 547,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,725 : 257,044 = 257,044 : x
  2. Step 2: Convert to fraction form
    120,725/257,044 = 257,044/x
  3. Step 3: Cross multiply
    120,725x = 257,044 × 257,044
  4. Step 4: Simplify right side
    120,725x = 66,071,617,936
  5. Step 5: Solve for x
    x = 66,071,617,936/120,725
  6. Step 6: Final answer
    x = 547,290.27

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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.