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Finding the Third Proportional to 74,981 and 152,971

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Solution

The third proportional to 74,981 and 152,971 is: 312,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,981 : 152,971 = 152,971 : x
  2. Step 2: Convert to fraction form
    74,981/152,971 = 152,971/x
  3. Step 3: Cross multiply
    74,981x = 152,971 × 152,971
  4. Step 4: Simplify right side
    74,981x = 23,400,126,841
  5. Step 5: Solve for x
    x = 23,400,126,841/74,981
  6. Step 6: Final answer
    x = 312,080.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.