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Finding the Third Proportional to 120,604 and 254,586

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Solution

The third proportional to 120,604 and 254,586 is: 537,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,604 : 254,586 = 254,586 : x
  2. Step 2: Convert to fraction form
    120,604/254,586 = 254,586/x
  3. Step 3: Cross multiply
    120,604x = 254,586 × 254,586
  4. Step 4: Simplify right side
    120,604x = 64,814,031,396
  5. Step 5: Solve for x
    x = 64,814,031,396/120,604
  6. Step 6: Final answer
    x = 537,411.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.