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Finding the Third Proportional to 74,378 and 113,308

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Solution

The third proportional to 74,378 and 113,308 is: 172,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378 : 113,308 = 113,308 : x
  2. Step 2: Convert to fraction form
    74,378/113,308 = 113,308/x
  3. Step 3: Cross multiply
    74,378x = 113,308 × 113,308
  4. Step 4: Simplify right side
    74,378x = 12,838,702,864
  5. Step 5: Solve for x
    x = 12,838,702,864/74,378
  6. Step 6: Final answer
    x = 172,614.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.