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Finding the Third Proportional to 121,292 and 248,632

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Solution

The third proportional to 121,292 and 248,632 is: 509,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,292 : 248,632 = 248,632 : x
  2. Step 2: Convert to fraction form
    121,292/248,632 = 248,632/x
  3. Step 3: Cross multiply
    121,292x = 248,632 × 248,632
  4. Step 4: Simplify right side
    121,292x = 61,817,871,424
  5. Step 5: Solve for x
    x = 61,817,871,424/121,292
  6. Step 6: Final answer
    x = 509,661.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.