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Finding the Third Proportional to 121,403 and 183,797.50

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Solution

The third proportional to 121,403 and 183,797.50 is: 278,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,403 : 183,797.50 = 183,797.50 : x
  2. Step 2: Convert to fraction form
    121,403/183,797.50 = 183,797.50/x
  3. Step 3: Cross multiply
    121,403x = 183,797.50 × 183,797.50
  4. Step 4: Simplify right side
    121,403x = 33,781,521,006.25
  5. Step 5: Solve for x
    x = 33,781,521,006.25/121,403
  6. Step 6: Final answer
    x = 278,259.36

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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.