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Finding the Third Proportional to 78,350 and 117,230

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Solution

The third proportional to 78,350 and 117,230 is: 175,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350 : 117,230 = 117,230 : x
  2. Step 2: Convert to fraction form
    78,350/117,230 = 117,230/x
  3. Step 3: Cross multiply
    78,350x = 117,230 × 117,230
  4. Step 4: Simplify right side
    78,350x = 13,742,872,900
  5. Step 5: Solve for x
    x = 13,742,872,900/78,350
  6. Step 6: Final answer
    x = 175,403.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.