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Finding the Third Proportional to 120,210 and 256,506

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Solution

The third proportional to 120,210 and 256,506 is: 547,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,210 : 256,506 = 256,506 : x
  2. Step 2: Convert to fraction form
    120,210/256,506 = 256,506/x
  3. Step 3: Cross multiply
    120,210x = 256,506 × 256,506
  4. Step 4: Simplify right side
    120,210x = 65,795,328,036
  5. Step 5: Solve for x
    x = 65,795,328,036/120,210
  6. Step 6: Final answer
    x = 547,336.56

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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.