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Finding the Third Proportional to 121,259 and 183,566

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Solution

The third proportional to 121,259 and 183,566 is: 277,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,259 : 183,566 = 183,566 : x
  2. Step 2: Convert to fraction form
    121,259/183,566 = 183,566/x
  3. Step 3: Cross multiply
    121,259x = 183,566 × 183,566
  4. Step 4: Simplify right side
    121,259x = 33,696,476,356
  5. Step 5: Solve for x
    x = 33,696,476,356/121,259
  6. Step 6: Final answer
    x = 277,888.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.