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Finding the Third Proportional to 76,240 and 117,280

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Solution

The third proportional to 76,240 and 117,280 is: 180,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,240 : 117,280 = 117,280 : x
  2. Step 2: Convert to fraction form
    76,240/117,280 = 117,280/x
  3. Step 3: Cross multiply
    76,240x = 117,280 × 117,280
  4. Step 4: Simplify right side
    76,240x = 13,754,598,400
  5. Step 5: Solve for x
    x = 13,754,598,400/76,240
  6. Step 6: Final answer
    x = 180,411.84

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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.