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Finding the Third Proportional to 74,480 and 152,912

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Solution

The third proportional to 74,480 and 152,912 is: 313,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,480 : 152,912 = 152,912 : x
  2. Step 2: Convert to fraction form
    74,480/152,912 = 152,912/x
  3. Step 3: Cross multiply
    74,480x = 152,912 × 152,912
  4. Step 4: Simplify right side
    74,480x = 23,382,079,744
  5. Step 5: Solve for x
    x = 23,382,079,744/74,480
  6. Step 6: Final answer
    x = 313,937.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.