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Finding the Third Proportional to 78,496.59 and 121,325.34

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Solution

The third proportional to 78,496.59 and 121,325.34 is: 187,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.59 : 121,325.34 = 121,325.34 : x
  2. Step 2: Convert to fraction form
    78,496.59/121,325.34 = 121,325.34/x
  3. Step 3: Cross multiply
    78,496.59x = 121,325.34 × 121,325.34
  4. Step 4: Simplify right side
    78,496.59x = 14,719,839,036.06
  5. Step 5: Solve for x
    x = 14,719,839,036.06/78,496.59
  6. Step 6: Final answer
    x = 187,522.01

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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.