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Finding the Third Proportional to 78,157 and 121,097

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Solution

The third proportional to 78,157 and 121,097 is: 187,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157 : 121,097 = 121,097 : x
  2. Step 2: Convert to fraction form
    78,157/121,097 = 121,097/x
  3. Step 3: Cross multiply
    78,157x = 121,097 × 121,097
  4. Step 4: Simplify right side
    78,157x = 14,664,483,409
  5. Step 5: Solve for x
    x = 14,664,483,409/78,157
  6. Step 6: Final answer
    x = 187,628.53

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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.