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Finding the Third Proportional to 78,157.13 and 121,097.25

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Solution

The third proportional to 78,157.13 and 121,097.25 is: 187,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.13 : 121,097.25 = 121,097.25 : x
  2. Step 2: Convert to fraction form
    78,157.13/121,097.25 = 121,097.25/x
  3. Step 3: Cross multiply
    78,157.13x = 121,097.25 × 121,097.25
  4. Step 4: Simplify right side
    78,157.13x = 14,664,543,957.56
  5. Step 5: Solve for x
    x = 14,664,543,957.56/78,157.13
  6. Step 6: Final answer
    x = 187,629.01

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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.