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Finding the Third Proportional to 78,272 and 121,248

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Solution

The third proportional to 78,272 and 121,248 is: 187,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,272 : 121,248 = 121,248 : x
  2. Step 2: Convert to fraction form
    78,272/121,248 = 121,248/x
  3. Step 3: Cross multiply
    78,272x = 121,248 × 121,248
  4. Step 4: Simplify right side
    78,272x = 14,701,077,504
  5. Step 5: Solve for x
    x = 14,701,077,504/78,272
  6. Step 6: Final answer
    x = 187,820.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.