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Finding the Third Proportional to 36,912 and 78,440

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Solution

The third proportional to 36,912 and 78,440 is: 166,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,912 : 78,440 = 78,440 : x
  2. Step 2: Convert to fraction form
    36,912/78,440 = 78,440/x
  3. Step 3: Cross multiply
    36,912x = 78,440 × 78,440
  4. Step 4: Simplify right side
    36,912x = 6,152,833,600
  5. Step 5: Solve for x
    x = 6,152,833,600/36,912
  6. Step 6: Final answer
    x = 166,689.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.