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Finding the Third Proportional to 74,308 and 115,114

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Solution

The third proportional to 74,308 and 115,114 is: 178,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,308 : 115,114 = 115,114 : x
  2. Step 2: Convert to fraction form
    74,308/115,114 = 115,114/x
  3. Step 3: Cross multiply
    74,308x = 115,114 × 115,114
  4. Step 4: Simplify right side
    74,308x = 13,251,232,996
  5. Step 5: Solve for x
    x = 13,251,232,996/74,308
  6. Step 6: Final answer
    x = 178,328.48

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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.