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Finding the Third Proportional to 78,276 and 121,254

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Solution

The third proportional to 78,276 and 121,254 is: 187,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,276 : 121,254 = 121,254 : x
  2. Step 2: Convert to fraction form
    78,276/121,254 = 121,254/x
  3. Step 3: Cross multiply
    78,276x = 121,254 × 121,254
  4. Step 4: Simplify right side
    78,276x = 14,702,532,516
  5. Step 5: Solve for x
    x = 14,702,532,516/78,276
  6. Step 6: Final answer
    x = 187,829.38

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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.