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Finding the Third Proportional to 78,530 and 121,323

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Solution

The third proportional to 78,530 and 121,323 is: 187,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,530 : 121,323 = 121,323 : x
  2. Step 2: Convert to fraction form
    78,530/121,323 = 121,323/x
  3. Step 3: Cross multiply
    78,530x = 121,323 × 121,323
  4. Step 4: Simplify right side
    78,530x = 14,719,270,329
  5. Step 5: Solve for x
    x = 14,719,270,329/78,530
  6. Step 6: Final answer
    x = 187,435.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.