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Finding the Third Proportional to 121,253 and 183,556

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Solution

The third proportional to 121,253 and 183,556 is: 277,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,253 : 183,556 = 183,556 : x
  2. Step 2: Convert to fraction form
    121,253/183,556 = 183,556/x
  3. Step 3: Cross multiply
    121,253x = 183,556 × 183,556
  4. Step 4: Simplify right side
    121,253x = 33,692,805,136
  5. Step 5: Solve for x
    x = 33,692,805,136/121,253
  6. Step 6: Final answer
    x = 277,871.93

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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.