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Finding the Third Proportional to 120,633 and 257,599

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Solution

The third proportional to 120,633 and 257,599 is: 550,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,633 : 257,599 = 257,599 : x
  2. Step 2: Convert to fraction form
    120,633/257,599 = 257,599/x
  3. Step 3: Cross multiply
    120,633x = 257,599 × 257,599
  4. Step 4: Simplify right side
    120,633x = 66,357,244,801
  5. Step 5: Solve for x
    x = 66,357,244,801/120,633
  6. Step 6: Final answer
    x = 550,075.39

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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.